Anton M. Zeitlin
Associate Professor
School of Mathematics
Georgia Institute of Technology
686 Cherry Street
Atlanta, GA 30332-0160, USA
Email: zeitlin@gatech.edu
I am an Associate Professor at the Georgia Institute of Technology.
My research interests are in representation theory with applications in geometry, topology and mathematical physics.
Research
Here you can find my major research topics and main publications(see also Full Publication List):
- Enumerative geometry, quantum integrable systems and q-Langlands correspondence
- Higher Teichmüller theory
- Quantum groups and Kac-Moody algebras
- Homotopy Gerstenhaber algebras, Einstein equations and Courant algebroids
- Geometric Langlands correspondence for supergroups
- Homotopy algebras of topological conformal field theories
- Integrable systems and (super)conformal field theory
- Enumerative geometry, quantum integrable systems and q-Langlands correspondence
We investigate the relationship between quantum integrable systems and enumerative geometry, motivated by the results in the study of supersymmetric gauge theories.
Anton M. Zeitlin, "Geometric realizations of the Bethe ansatz equations",arXiv:2410.19997.
Peter Koroteev, Anton M. Zeitlin, "The Zoo of Opers and Dualities", International Mathematics Research Notices (IMRN), Volume 2024, Issue 8, pp. 6850-6878, 2024 (doi: 10.1093/imrn/rnad270),arXiv:2208.08031.
Anton M. Zeitlin, "On Wronskians and qq-systems", Contemporary Mathematics, AMS, Proceedings of "Geometric and Algebraic Aspects of Quantum Groups and Related Topics at the University of South Alabama", Nov 2021, arXiv:2208.08018.
Ty J. Brinson, Daniel S. Sage, Anton M. Zeitlin, "Opers on the projective line, Wronskian relations, and the Bethe Ansatz", Journal of Geometry and Physics, Volume 202, 105222, 2024(doi: 10.1016/j.geomphys.2024.105222),arXiv:2112.02711.
Peter Koroteev, Anton M. Zeitlin,"q-Opers, QQ-systems, and Bethe Ansatz II: Generalized Minors",Journal für die reine und angewandte Mathematik, Issue 795, pp. 271-296, 2023 (doi: 10.1515/crelle-2022-0084),arXiv:2108.04184.
Peter Koroteev, Anton M. Zeitlin, "3d Mirror Symmetry for Instanton Moduli Spaces", Communications in Mathematical Physics, Volume 403, Issue 2, pp. 1005-1068, 2023 (doi: 10.1007/s00220-023-04831-5),arXiv:2105.00588.
Peter Koroteev, Anton M. Zeitlin, "Toroidal q-Opers", Journal of the Institute of Mathematics of Jussieu, Volume 22, Issue 2, pp. 581-642, 2023 (doi: 10.1017/S1474748021000220), arXiv:2007.11786.
Edward Frenkel, Peter Koroteev, Daniel S. Sage, Anton M. Zeitlin,"q-Opers, QQ-Systems, and Bethe Ansatz", Journal of the European Mathematical Society(JEMS), Volume 26, Number 1, pp. 355-405, 2024 (doi: 10.4171/JEMS/1268), arXiv:2002.07344.
Peter Koroteev, Daniel S. Sage, Anton M. Zeitlin,"(SL(N),q)-opers, the q-Langlands correspondence, and quantum/classical duality", Communications in Mathematical Physics, Volume 381, Issue 2, pp. 641-672, 2021(doi: 10.1007/s00220-020-03891-1),arXiv:1811.09937.
Peter Koroteev, Anton M. Zeitlin,"qKZ/tRS Duality via Quantum K-Theoretic Counts", Mathematical Research Letters, Volume 28, Number 2, pp. 435-470, 2021 (doi: 10.4310/MRL.2021.v28.n2.a5),arXiv:1802.04463.
Peter Koroteev, Petr P. Pushkar, Andrey Smirnov, Anton M. Zeitlin,"Quantum K-theory of Quiver Varieties and Many-Body Systems", Selecta Mathematica New Ser., Volume 27, Issue 5, Article: 87, 2021(doi: 10.1007/s00029-021-00698-3), arXiv:1705.10419.
Petr P. Pushkar, Andrey Smirnov, Anton M. Zeitlin, "Baxter Q-operator from quantum K-theory", Advances in Mathematics, Volume 360, 106919, 2020(doi: 10.1016/j.aim.2019.106919), arXiv:1612.08723. - Higher Teichmüller theory
We construct the analogue of Penner coordinates on the N=1 and N=2 super-Teichmüller spaces.Future projects based on this work involve super-analogue of cluster algebras, computations of volumes of supermoduli spaces, quantization of (higher) super-Teichmüller spaces.
Albert S. Schwarz, Anton M. Zeitlin, "Super Riemann surfaces and fatgraphs", Universe, Special Issue "Quantum Theory and Beyond", 9(9), 384, 2023(doi: 10.3390/universe9090384),arXiv:2307.02706.
Andrea Bourque, Anton M. Zeitlin, "Flat GL(1|1)-connections and fatgraphs", Journal of Geometry and Physics, Volume 191, 104880, 2023 (doi: 10.1016/j.geomphys.2023.104880),arXiv:2208.08033.
Yi Huang, Robert C. Penner, Anton M. Zeitlin, "Super McShane identity", Journal of Differential Geometry, Volume 125, Number 3, pp. 509-551, 2023
(doi: 10.4310/jdg/1701804150), arXiv:1907.09978.
Anton M. Zeitlin (joint with Ivan C.-H. Ip, Robert C. Penner ),"Super-Teichmüller spaces and related structures", Oberwolfach Report No. 40/2018, Volume 15, Issue 3, pp. 2486-2489, 2018 (doi: 10.4171/OWR/2018/40),arXiv:1811.09939.
Ivan C.H. Ip, Robert C. Penner, Anton M. Zeitlin, "On Ramond Decorations", Communications in Mathematical Physics, Volume 371, Issue 1, pp. 145-157, 2019 (doi: 10.1007/s00220-019-03424-5), arXiv:1709.06207.
Ivan C.H. Ip, Robert C. Penner, Anton M. Zeitlin,"N=2 Super-Teichmüller Theory", Advances in Mathematics, Volume 336, pp. 409-454, 2018 (doi: 10.1016/j.aim.2018.08.001), arXiv:1605.08094.
R.C. Penner, Anton M. Zeitlin, "Decorated Super-Teichmüller Space",Journal of Differential Geometry, Volume 111, no. 3, 527-566, 2019 (doi: 10.4310/jdg/1552442609),arXiv:1509.06302. - Quantum groups and Kac-Moody algebras
- Towards the continuous Kazhdan-Lusztig correspondence. Chern-Simons theory for real reductive Lie groups
We attempt to build the braided tensor category of modules for affine Kac-Moody algebras, equivalent to the modular double tensor category of quantum groups. This will lead to the mathematical understanding of the WZW model and Chern-Simons theory for real reductive Lie groups.
Anton M. Zeitlin, "On the unitary representations of the affine $ax+b$-group, $\widehat{sl}(2,\mathbb{R})$ and their relatives", Proc. Symp. Pure Math., AMS, Volume 92 "Lie Algebras, Lie Superalgebras,Vertex Algebras and Related Topics", pp. 325-355, 2016 (doi: 10.1090/pspum/092),arXiv:1509.06072.
Igor B. Frenkel, Anton M. Zeitlin, "On the continuous series for $\widehat{sl}(2,\mathbb{R})$", Communications in Mathematical Physics, Volume 326, Issue 1, pp. 145-165, 2014 (doi: 10.1007/s00220-013-1832-9),arXiv:1210.2135.
Anton M. Zeitlin, "Unitary representations of a loop ax+b group, Wiener measure and Gamma-function", Journal of Functional Analysis, Volume 263, Issue 3, pp. 529-548, 2012 (doi: 10.1016/j.jfa.2012.05.004), arXiv:1012.4826. - Semi-infinite cohomology, quantum groups and noncommutative geometry
We introduce a new approach to quantum groups as semi-infinite cohomology rings for certain braided vertex algebras. This leads to surprising realizations of some constructions in noncommutative geometry.
Igor B. Frenkel, Anton M. Zeitlin, "Quantum Group GLq(2) and Quantum Laplace Operator via Semi-infinite Cohomology", Journal of Noncommutative Geometry, Volume 7, Issue 4, pp. 1007-1026, 2013 (doi: 10.4171/JNCG/142),arXiv:1110.1696.
Igor B. Frenkel, Anton M. Zeitlin, "Quantum Group as Semi-infinite Cohomology", Communications in Mathematical Physics, Volume 297, Number 3, pp. 687-732, 2010 (doi: 10.1007/s00220-010-1055-2), arXiv:0812.1620.
- Towards the continuous Kazhdan-Lusztig correspondence. Chern-Simons theory for real reductive Lie groups
- Homotopy Gerstenhaber algebras, Einstein equations and Courant algebroids
Using the relation to 2-dimensional sigma models, we construct an underlying homotopy Gerstenhaber algebra within Einstein equations with extra fields. Such an algebraic structure is naturally related to the Courant algebroid.
Anton M. Zeitlin, "The BV double of a Courant algebroid", arXiv:2410.20510.
Martin Rocek, Anton M. Zeitlin, "Homotopy algebras of differential (super)forms in three and four dimensions", Letters in Mathematical Physics, Volume 108, Issue 12, pp. 2669-2694, 2018(doi: 10.1007/s11005-018-1109-5), arXiv:1702.03565.
Anton M. Zeitlin, "Beltrami-Courant Differentials and $G_\infty$-algebras", Advances in Theoretical and Mathematical Physics, Volume 19, Number 6, pp. 1249-1275, 2015 (doi: 10.4310/ATMP.2015.v19.n6.a3), arXiv:1404.3069.
Anton M. Zeitlin, "Quasiclassical Lian-Zuckerman Homotopy Algebras, Courant Algebroid and Gauge Theory", Communications in Mathematical Physics, Volume 303, Number 2, pp. 331-359, 2011 (doi: 10.1007/s00220-011-1206-0), arXiv:0910.3652.
Anton M. Zeitlin, "Beta-gamma systems and the deformations of the BRST operator", Journal of Physics A: Mathematical and Theoretical, Volume 42, Number 35, 355401, 2009 (doi: 10.1088/1751-8113/42/35/355401), arXiv:0904.2234.
Anton M. Zeitlin, "SFT-inspired Algebraic Structures in Gauge Theories", Journal of Mathematical Physics (JMP), 50, Issue 6, 063501, 2009 (doi: 10.1063/1.3142964), arXiv:0711.3843.
Anton M. Zeitlin, "Perturbed Beta-Gamma Systems and Complex Geometry", Nuclear Physics B, Volume 794, Issue 3[PM], pp. 381-401, 2008 (doi: 10.1016/j.nuclphysb.2007.09.002), arXiv:0708.0682.
Andrei S. Losev, Andrei Marshakov, Anton M. Zeitlin, "On First Order Formalism in String Theory", Physics Letters B, Volume 633/2-3, pp. 375-381, 2006 (doi: 10.1016/j.physletb.2005.12.010), hep-th/0510065. - Geometric Langlands correspondence for supergroups
We define a counterpart of an oper on a supercurve and study the analogue of Geometric Langlands correspondence in the simplest nontrivial case of OSp(1|2) supergroup. In the future we plan to extend it to higher rank case.
Anton M. Zeitlin, "Superopers revisited", arXiv:2307.02675.
Anton M. Zeitlin, "Superopers on Supercurves", Letters in Mathematical Physics, Volume 105, Issue 2, pp. 149-167, 2015 (doi: 10.1007/s11005-014-0735-9),arXiv:1311.5997. - Homotopy algebras of topological conformal field theories
We introduce nonlocal operators in topological conformal field theories using integration over the compactified moduli spaces and study relations between them.
Anton M. Zeitlin, "On higher order Leibniz identities in TCFT", Contemporary Mathematics, Volume 623, pp. 267-280, 2014 (doi: 10.1090/conm/623/12458) arXiv:1301.6382.
Anton M. Zeitlin, "Homotopy Relations for Topological VOA", International Journal of Mathematics (IJM), Volume 23, Issue 1, 1250012, 2012 (doi: 10.1142/S0129167X11007550), arXiv:1104.5038. - Integrable systems and (super)conformal field theory
We investigate integrable structures in superconformal field theory. In particular, that involves quantization of supersymmetric models of KdV type.
Ivan Chi-Ho Ip, Anton M. Zeitlin, "Q-operator and fusion relations for Cq(2)(2)", Letters in Mathematical Physics, Volume 104, Issue 8, pp. 1019-1043, 2014 (doi: 10.1007/s11005-014-0702-5), arXiv:1312.4063.
A.M. Zeitlin, "Quantization of N=2 supersymmetric KdV Hierarchy", Theoretical and Mathematical Physics, v. 147, n. 2, pp. 303-314, 2006 (in russian,(doi: 10.4213/tmf1965), Engl. transl.: Theoretical and Mathematical Physics v. 147, n. 2, pp. 698-708, 2006(doi: 10.1007/s11232-006-0071-z), hep-th/0606129.
Petr P. Kulish, Anton M. Zeitlin, "Quantum supersymmetric Toda-mKdV hierarchies", Nuclear Physics B, Volume 720, Issue 3, pp. 289-306, 2005(doi: 10.1016/j.nuclphysb.2005.06.002), hep-th/0506027.
Petr P. Kulish, Anton M. Zeitlin, "Superconformal field theory and SUSY N=1 KdV hierarchy II: the Q-operator", Nuclear Physics B, Volume 709, Issue 3, pp. 578-591,2005 (doi: 10.1016/j.nuclphysb.2004.12.031), hep-th/0501019.
Petr P. Kulish, Anton M. Zeitlin, "Quantum inverse scattering method and (super)conformal field theory", Theoretical and Mathematical Physics, v. 142, n. 2, pp. 252-264, 2005 (in russian,doi: 10.4213/tmf1779),Engl. transl.: Theoretical and Mathematical Physics, v. 142, n. 2, pp. 211-221, 2005, (doi: 10.1007/s11232-005-0054-5), hep-th/0501018.
Petr P. Kulish, Anton M. Zeitlin, "Superconformal Field Theory and SUSY N=1 KdV Hierarchy I: VertexOperators and Yang-Baxter Equation", Physics Letters B, Volume 597, Issue 2, pp. 229-236, 2004(doi: 10.1016/j.physletb.2004.07.019), hep-th/0407154.
Petr P. Kulish, Anton M. Zeitlin, "Integrable Structure of SuperconformalField Theory and Quantum super-KdV Theory", Physics Letters B, Volume 581, Issues 1-2, pp. 125-132, 2004(doi: 10.1016/j.physletb.2003.12.008), hep-th/0312159.
Petr P. Kulish, Anton M. Zeitlin, "Group Theoretical Structure and Inverse Scattering Method forsuper-KdV Equation", Zapiski Nauchnih Seminarov POMI (Steklov Institute), vol. 291, 185-205, 2002 (in russian); Engl. transl. : Journal of Mathematical Sciences (Springer/Kluwer), v. 125, n. 2, pp. 203-214, 2005 (doi: 10.1023/B:JOTH.0000049572.41993.9f),hep-th/0312158.
Anton M. Zeitlin
Contact Information:
| name: | Anton M. Zeitlin |
| address: | School of Mathematics, Georgia Institute of Technology, 686 Cherry Street, Atlanta, GA 30332-0160 USA |
| e-mail: | zeitlin at gatech.edu, anton.zeitlin at gmail.com |
Personal Information:
| Citizenship: USA |
| Languages: English, Russian |
Employment:
| from 2024 | Associate Professor, School of Mathematics, Georgia Institute of Technology, USA |
| 2023-2024 | Associate Professor, Department of Mathematics, Louisiana State University, USA |
| 2017-2023 | Assistant Professor, Department of Mathematics, Louisiana State University, USA |
| 2012-2017 | Ritt Assistant Professor, Department of Mathematics, Columbia University, USA |
| 2013-2014 | EPDI Fellow: September 1, 2013 – February 28, 2014, Max Planck Institute for Mathematics, Bonn, Germany March 1, 2014 – August 31, 2014, Institut des Hautes Etudes Scientifiques, Bures-sur-Yvette, France |
Education:
| MSc, 2005, | St. Petersburg State University |
| PhD, 2012, | Department of Mathematics, Yale University, Thesis "Semi-infinite cohomology in Noncommutative Geometry and Conformal Field Theory" |
Grants and Awards:
| NSF RTG Grant (DMS-2231492, co-PI): 2023-2024 |
| NSF Standard Grant (DMS-2203823): 2022-2025 |
| Simons Collaboration Grant: 2018-2022 |
| AMS Simons Travel Grant: 2016-2018 |
| EPDI laureate (IHES): 2012-2014 |
| Yale University: Sterling stipend, 2006-2009 |
| Dynasty Foundation Stipend: 2003-2006 |
| CRDF: Grant No. RUM1-2622-ST-04 (as a member of Group), 2005-2006 |
| RFBR: grant 05-01-00922 (as a member of Group), 2005-2006 |
Publications
| 58. | Anton M. Zeitlin, On GL(1|1) Higgs bundles | arXiv:2512.23909 |
| 57. | Rahul Singh, Anton M. Zeitlin,
QQ-systems and tropical geometry | arXiv:2504.11260 |
| 56. | Anton M. Zeitlin,
The BV double of a Courant algebroid | arXiv:2410.20510 |
| 55. | Anton M. Zeitlin,
Geometric realizations of the Bethe ansatz equations | arXiv:2410.19997 |
| 54. | Albert S. Schwarz, Anton M. Zeitlin,
Super Riemann surfaces and fatgraphs Universe, Special Issue "Quantum Theory and Beyond", 9(9), 384, 2023 (doi: 10.3390/universe9090384) | arXiv:2307.02706 |
| 53. | Anton M. Zeitlin,
Superopers revisited Contemporary Mathematics, AMS, Proceedings of Workshop in Honor of Igor Frenkel's 70th Birthday, May 31-June 4, 2022, "From Representation Theory to Mathematical Physics and Back", CONM/817, 2025 (doi: 10.1090/conm/817/16324) | arXiv:2307.02675 |
| 52. | Andrea Bourque, Anton M. Zeitlin,
Flat GL(1|1)-connections and fatgraphs Journal of Geometry and Physics, Volume 191, 104880, 2023 (doi: 10.1016/j.geomphys.2023.104880) | arXiv:2208.08033 |
| 51. | Peter Koroteev, Anton M. Zeitlin,
The Zoo of Opers and Dualities International Mathematics Research Notices (IMRN), Volume 2024, Issue 8, pp. 6850-6878, 2024 (doi: 10.1093/imrn/rnad270) | arXiv:2208.08031 |
| 50. | Anton M. Zeitlin,
On Wronskians and qq-systems Contemporary Mathematics, AMS, Proceedings of session on "Geometric and Algebraic Aspects of Quantum Groups and Related Topics at the University of South Alabama", Nov 2021, "Algebraic and Topological Aspects of Representation Theory", CONM/791, 2024 (doi: 10.1090/conm/791/15873) | arXiv:2208.08018 |
| 49. | Ty J. Brinson, Daniel S. Sage, Anton M. Zeitlin,
Opers on the projective line, Wronskian relations, and the Bethe Ansatz Journal of Geometry and Physics, Volume 202, 105222, 2024 (doi: 10.1016/j.geomphys.2024.105222) | arXiv:2112.02711 |
| 48. | Peter Koroteev, Anton M. Zeitlin,
q-Opers, QQ-systems, and Bethe Ansatz II: Generalized Minors Journal für die reine und angewandte Mathematik, Issue 795, pp. 271-296, 2023 (doi: 10.1515/crelle-2022-0084) | arXiv:2108.04184 |
| 47. | Peter Koroteev, Anton M. Zeitlin,
3d Mirror Symmetry for Instanton Moduli Spaces Communications in Mathematical Physics, Volume 403, Issue 2, pp. 1005-1068, 2023 (doi: 10.1007/s00220-023-04831-5) | arXiv:2105.00588 |
| 46. | Peter Koroteev, Anton M. Zeitlin,
Toroidal q-Opers Journal of the Institute of Mathematics of Jussieu, Volume 22, Issue 2, pp. 581-642, 2023 (doi: 10.1017/S1474748021000220) | arXiv:2007.11786 |
| 45. | Edward Frenkel, Peter Koroteev, Daniel S. Sage, Anton M. Zeitlin,
q-Opers, QQ-Systems, and Bethe Ansatz Journal of the European Mathematical Society (JEMS), Volume 26, Number 1, pp. 355-405, 2024 (doi: 10.4171/JEMS/1268) | arXiv:2002.07344 |
| 44. | Yi Huang, Robert C. Penner, Anton M. Zeitlin,
Super McShane identity Journal of Differential Geometry, Volume 125, Number 3, pp. 509-551, 2023 (doi: 10.4310/jdg/1701804150) |
arXiv:1907.09978 IHES: M-19-08 |
| 43. | Anton M. Zeitlin (joint with Ivan C.-H. Ip, Robert C. Penner),
Super-Teichmüller spaces and related structures, Oberwolfach Report (Report No. 40/2018), Volume 15, Issue 3, pp. 2486-2489, 2018 (doi: 10.4171/OWR/2018/40) | arXiv:1811.09939 |
| 42. | Peter Koroteev, Daniel S. Sage, Anton M. Zeitlin,
(SL(N),q)-opers, the q-Langlands correspondence, and quantum/classical duality, Communications in Mathematical Physics, Volume 381, Issue 2, pp. 641-672, 2021 (doi: 10.1007/s00220-020-03891-1) | arXiv:1811.09937 |
| 41. | Peter Koroteev, Anton M. Zeitlin,
qKZ/tRS Duality via Quantum K-Theoretic Counts, Mathematical Research Letters, Volume 28, Number 2, pp. 435-470, 2021 (doi: 10.4310/MRL.2021.v28.n2.a5) | arXiv:1802.04463 |
| 40. | Ivan C.H. Ip, Robert C. Penner, Anton M. Zeitlin,
On Ramond Decorations, Communications in Mathematical Physics, Volume 371, Issue 1, pp. 145-157, 2019 (doi: 10.1007/s00220-019-03424-5) | arXiv:1709.06207 |
| 39. | Peter Koroteev, Petr P. Pushkar, Andrey Smirnov, Anton M. Zeitlin,
Quantum K-theory of Quiver Varieties and Many-Body Systems Selecta Mathematica New Ser., Volume 27, Issue 5, Article: 87, 2021 (doi: 10.1007/s00029-021-00698-3) | arXiv:1705.10419 |
| 38. | Martin Rocek, Anton M. Zeitlin,
Homotopy algebras of differential (super)forms in three and four dimensions Letters in Mathematical Physics, Volume 108, Issue 12, pp. 2669-2694, 2018 (doi: 10.1007/s11005-018-1109-5) | arXiv:1702.03565 |
| 37. | Petr P. Pushkar, Andrey Smirnov, Anton M. Zeitlin,
Baxter Q-operator from quantum K-theory Advances in Mathematics, Volume 360, 106919, 2020 (doi: 10.1016/j.aim.2019.106919) | arXiv:1612.08723 |
| 36. | Ivan C.H. Ip, Robert C. Penner, Anton M. Zeitlin,
N=2 Super-Teichmüller Theory Advances in Mathematics, Volume 336, pp. 409-454, 2018 (doi: 10.1016/j.aim.2018.08.001) | arXiv:1605.08094 |
| 35. | R.C. Penner, Anton M. Zeitlin, Decorated Super-Teichmüller Space Journal of Differential Geometry, Volume 111, no. 3, 527-566, 2019 (doi: 10.4310/jdg/1552442609) |
arXiv:1509.06302 IHES: M-15-21 |
| 34. | Anton M. Zeitlin, On the unitary representations of the affine $ax+b$-group, $\widehat{sl}(2,\mathbb{R})$
and their relatives Proc. Symp. Pure Math., AMS, Volume 92, pp. 325-355, 2016 (doi: 10.1090/pspum/092) | arXiv:1509.06072 |
| 33. | Anton M. Zeitlin, Sigma-models and homotopy algebras Journal of Physics, Conf. Ser., Volume 597, 012074, 2015 (doi: 10.1088/1742-6596/597/1/012074) | arXiv:1509.06067 |
| 32. | Anton M. Zeitlin, Beltrami-Courant Differentials and $G_\infty$-algebras Advances in Theoretical and Mathematical Physics, Volume 19, Number 6, pp. 1249-1275, 2015 (doi: 10.4310/ATMP.2015.v19.n6.a3) |
arXiv:1404.3069 IHES: M-14-19 |
| 31. | Ivan Chi-Ho Ip, Anton M. Zeitlin, Q-operator and fusion relations for Cq(2)(2) Letters in Mathematical Physics, Volume 104, Issue 8, pp. 1019-1043, 2014 (doi: 10.1007/s11005-014-0702-5) |
arXiv:1312.4063 MPIM: 2014-8 |
| 30. | Anton M. Zeitlin, Superopers on Supercurves Letters in Mathematical Physics, Volume 105, Issue 2, pp. 149-167, 2015 (doi: 10.1007/s11005-014-0735-9) |
arXiv:1311.5997 MPIM: 2014-7 |
| 29. | Ivan Chi-Ho Ip, Anton M. Zeitlin, Supersymmetry and the Modular Double Contemporary Mathematics, AMS, Volume 623, pp. 81-97, 2014 (doi: 10.1090/conm/623/12459) | arXiv:1304.6787 |
| 28. | Anton M. Zeitlin, On higher order Leibniz identities in TCFT Contemporary Mathematics, AMS, Volume 623, pp. 267-280, 2014 (doi: 10.1090/conm/623/12458) | arXiv:1301.6382 |
| 27. | Igor B. Frenkel, Anton M. Zeitlin, On the continuous series for $\widehat{sl}(2,\mathbb{R})$ Communications in Mathematical Physics, Volume 326, Issue 1, pp. 145-165, 2014 (doi: 10.1007/s00220-013-1832-9) | arXiv:1210.2135 |
| 26. | Igor B. Frenkel, Anton M. Zeitlin, Quantum Group GLq(2) and Quantum Laplace Operator via Semi-infinite Cohomology Journal of Noncommutative Geometry, Volume 7, Issue 4, pp. 1007-1026, 2013 (doi: 10.4171/JNCG/142) | arXiv:1110.1696 |
| 25. | Anton M. Zeitlin, Homotopy Relations for Topological VOA, International Journal of Mathematics (IJM), Volume 23, Issue 1, 1250012, 2012 (doi: 10.1142/S0129167X11007550) | arXiv:1104.5038 |
| 24. | Anton M. Zeitlin, Unitary representations of a loop ax+b group, Wiener measure and Gamma-function, Journal of Functional Analysis, Volume 263, Issue 3, pp. 529-548, 2012 (doi: 10.1016/j.jfa.2012.05.004) | arXiv:1012.4826 |
| 23. | Anton M. Zeitlin, Quasiclassical Lian-Zuckerman Homotopy Algebras, Courant Algebroid and Gauge Theory Communications in Mathematical Physics, Volume 303, Number 2, pp. 331-359, 2011 (doi: 10.1007/s00220-011-1206-0) | arXiv:0910.3652 |
| 22. | Anton M. Zeitlin, Beta-gamma systems and the deformations of the BRST operator, Journal of Physics A: Mathematical and Theoretical, Volume 42, Number 35, 355401, 2009 (doi: 10.1088/1751-8113/42/35/355401) | arXiv:0904.2234 |
| 21. | Anton M. Zeitlin, Conformal Field Theory and Algebraic Structure of Gauge Theory, Journal of High Energy Physics, JHEP03(2010)056, 2010 (doi: 10.1007/JHEP03(2010)056) | arXiv:0812.1840 |
| 20. | Igor B. Frenkel, Anton M. Zeitlin, Quantum Group as Semi-infinite Cohomology, Communications in Mathematical Physics, Volume 297, Number 3, pp. 687-732, 2010 (doi: 10.1007/s00220-010-1055-2) | arXiv:0812.1620 |
| 19. | Anton M. Zeitlin,
SFT-inspired Algebraic Structures in Gauge Theories, Journal of Mathematical Physics (JMP), 50, Issue 6, 063501, 2009 (doi: 10.1063/1.3142964) | arXiv:0711.3843 |
| 18. | Anton M. Zeitlin, BV Yang-Mills as a Homotopy Chern-Simons via SFT, International Journal of Modern Physics A (IJMPA), Volume 24, Issue 7, pp. 1309 - 1331, 2009 (doi: 10.1142/S0217751X09043031) | arXiv:0709.1411 |
| 17. | Anton M. Zeitlin,
Homotopy Lie Superalgebra in Yang-Mills Theory, Journal of High Energy Physics, JHEP09(2007)068, 2007 (doi: 10.1088/1126-6708/2007/09/068) | arXiv:0708.1773 |
| 16. | Anton M. Zeitlin, Formal Maurer-Cartan Structures: from CFT to Classical Field Equations, Journal of High Energy Physics, JHEP12(2007)098, 2007 (doi: 10.1088/1126-6708/2007/12/098) | arXiv:0708.0955 |
| 15. | Anton M. Zeitlin,
Perturbed Beta-Gamma Systems and Complex Geometry, Nuclear Physics B, Volume 794, Issue 3, pp. 381-401, 2008 (doi: 10.1016/j.nuclphysb.2007.09.002) | arXiv:0708.0682 |
| 14. | Anton M. Zeitlin, BRST, Generalized Maurer-Cartan Equations and CFT, Nuclear Physics B, Volume 759, Issue 3, pp. 370-398, 2006 (doi: 10.1016/j.nuclphysb.2006.10.009) | hep-th/0610208 |
| 13. | Andrei S. Losev, Andrei Marshakov, Anton M. Zeitlin, On First Order Formalism in String Theory, Physics Letters B, Volume 633, Issues 2-3, pp. 375-381, 2006 (doi: 10.1016/j.physletb.2005.12.010) | hep-th/0510065 |
| 12. | A.M. Zeitlin, Quantization of N=2 supersymmetric KdV Hierarchy, Theoretical and Mathematical Physics, v. 147, n. 2, pp. 303-314, 2006 (in russian); (doi: 10.4213/tmf1965) Engl. transl.: Theoretical and Mathematical Physics, v. 147, n. 2, pp. 698-708, 2006 (doi: 10.1007/s11232-006-0071-z) | hep-th/0606129 |
| 11. | Petr P. Kulish, Anton M. Zeitlin, Quantization of N=1 and N=2 SUSY Korteweg-de Vries models, in "Problems of Mathematical Physics and Applied Mathematics", Ioffe Physico-Technical Institute (Сб. "Вопросы математической физики и прикладной математики", Физико-технический институт им. А.Ф. Иоффе), pp. 80-100, St. Petersburg, 2005 | hep-th/0601019 |
| 10. | Petr P. Kulish, Anton M. Zeitlin, Quantum supersymmetric Toda-mKdV hierarchies, Nuclear Physics B, Volume 720, Issue 3, pp. 289-306, 2005 (doi: 10.1016/j.nuclphysb.2005.06.002) | hep-th/0506027 |
| 9. | Petr P. Kulish, Anton M. Zeitlin,
Superconformal field theory and SUSY N=1 KdV hierarchy II: the Q-operator, Nuclear Physics B, Volume 709, Issue 3, pp. 578-591, 2005 (doi: 10.1016/j.nuclphysb.2004.12.031) | hep-th/0501019 |
| 8. | Anton M. Zeitlin,
Integrability of Superconformal Field Theory and SUSY N=1 KdV, in String Theory: from Gauge Interactions to Cosmology, NATO Advanced Study Institute, Proc. of Cargèse Summer School, 2004, NATO Science Series II: Mathematics, Physics and Chemistry, v. 208, 393-396, Springer, 2005 (doi: 10.1007/1-4020-3733-3_29) | hep-th/0501150 |
| 7. | Petr P. Kulish, Anton M. Zeitlin,
Quantum inverse scattering method and (super)conformal field theory, Theoretical and Mathematical Physics, v. 142, n. 2, pp. 252-264, 2005 (in russian); (doi: 10.4213/tmf1779) Engl. transl.: Theoretical and Mathematical Physics, v. 142, n. 2, pp. 211-221, 2005 (doi: 10.1007/s11232-005-0054-5) | hep-th/0501018 |
| 6. | Petr P. Kulish, Anton M. Zeitlin,
Superconformal Field Theory and SUSY N=1 KdV Hierarchy I: Vertex
Operators and Yang-Baxter Equation, Physics Letters B, Volume 597, Issue 2, pp. 229-236, 2004 (doi: 10.1016/j.physletb.2004.07.019) | hep-th/0407154 |
| 5. | Petr P. Kulish, Anton M. Zeitlin,
Integrable Structure of Superconformal
Field Theory and Quantum super-KdV Theory, Physics Letters B, Volume 581, Issues 1-2, pp. 125-132, 2004 (doi: 10.1016/j.physletb.2003.12.008) | hep-th/0312159 |
| 4. | Petr P. Kulish, Anton M. Zeitlin,
Quantization of integrable models with hidden symmetries: super-KdV equation, Journal of Modern Optics, Volume 51, Numbers 6-7, pp. 1107 - 1108, 2004 (doi: 10.1080/09500340408233643) | |
| 3. | Petr P. Kulish, Anton M. Zeitlin,
Super-KdV equation: classical solutions and quantization, Proceedings in Applied Mathematics and Mechanics (PAMM), Volume 4, Issue 1, pp. 576 - 577, Wiley InterScience, 2004 (doi: 10.1002/pamm.200410269) | |
| 2. | Petr P. Kulish, Anton M. Zeitlin,
Superconformal field theory and quantum inverse scattering method, in Symmetries in Gravity and Field Theory (eds. by V. Aldaya, J.M. Cerveró, Y.P. Garcia), Salamanca University Press, pp. 435-447, 2004) | |
| 1. | Petr P. Kulish, Anton M. Zeitlin,
Group Theoretical Structure and Inverse Scattering Method for
super-KdV Equation Zapiski Nauchnih Seminarov POMI (Steklov Institute), vol. 291, 185-205, 2002 (in russian); Engl. transl. : Journal of Mathematical Sciences (Springer/Kluwer), v. 125, n. 2, pp. 203-214, 2005 (doi: 10.1023/B:JOTH.0000049572.41993.9f) | hep-th/0312158 |
Talks and Presentations
| "Geometric methods for quantum integrable systems",
Algebra Seminar, University of Georgia, Athens, USA, November 17, 2025. |
| "The BV double of a Courant Algebroid",
AMS Special Session on Geometry, Integrability, Symmetry, and Physics, University of Denver, Denver, USA, August 23-24, 2025. |
| "On the BV double of a Courant Algebroid",
Algebra Seminar, Michigan State University, East Lansing, USA, April 4, 2025. |
| "Intrinsic geometric structures of quantum integrable systems",
Algebra Seminar, University of Virginia, Charlottesville, USA, March 5, 2025. |
| "On the BV double of a Courant Algebroid",
International Conference on Field Theory and Topology, University of Notre Dame, Notre Dame, USA, June 10-14, 2024. |
| "q-Opers and applications",
Algebra Seminar, University of Oregon, Eugene, USA, November 14, 2023. |
|
"Quantum/classical duality and geometry," AMS Special Session on Categorical Representations, Quantum Algebra, and Related Topics, University of South Alabama, USA, 13-18 October 2023. |
|
"Geometric realizations of Bethe equations", Mini-course, CIME Summer school, "Enumerative geometry, quantisation and moduli spaces", Cetraro, Italy, 4-8 September 2023. |
|
"Super-Teichmueller spaces: coordinates and applications" (
video), Simons Center for Geometry and Physics, Workshop: SuperGeometry and SuperModuli: March 27, 2023. |
|
"Geometric wonders of classical and quantum integrable systems", Department Colloquium, Department of Mathematics, University of California San Diego, January 30, 2023. |
|
"Geometric wonders of classical and quantum integrable systems", Department of Mathematics, Rutgers University, December 22, 2022. |
| "Bethe ansatz in the geometric setting,"
video,
Simons Program: Integrability, enumerative geometry, and quantization, Simons Center for Geometry and Physics, USA, September 2, 2022. |
| "ħ-opers and the geometric approach to the Bethe ansatz"
(slides pdf), Simons workshop "From Representation Theory to Mathematical Physics and Back", Simons Center for Geometry and Physics, USA, May 31 - June 4, 2022. |
| "Super-Teichmueller spaces and Penner coordinates", Colloquia, the University of Toledo, USA, April 8, 2022. |
|
"On q-Langlands correspondence, Bethe equations, and Applications", AMS Special Session on Integrability, Symmetry and Physics IV, Purdue University, USA, March 27, 2022. |
|
"Hyperbolic supergeometry and super-Teichmüller spaces"
(video), Supergeometry and Bracket Structures in Mathematics and Physics, The Fields Institute, Canada, March 21, 2022. |
| "Spin chains and geometric structures", "Integrable Probability, Classical and Quantum Integrability" (PIICQ), France, February 28, 2022. |
| "q-opers and the geometric approach to the Bethe ansatz equations"
, "Quantum Curves, Integrability and Cluster Algebras", MATRIX Institute, The University of Melbourne, Australia, December 17, 2021. |
|
"q-Opers and Applications", AMS Special Session on Geometric and Algebraic Aspects of Quantum Groups and Related Topics, the University of South Alabama, USA, November 20, 2021. |
|
"q-Opers, QQ-Systems, and Bethe Ansatz", Informal Mathematical Physics Seminar, Columbia University in the city of New York, USA, November 17, 2020. |
|
"Hyperbolic supergeometry, super-Teichmueller spaces, and applications", "Teichmueller Theory: Classical, Higher, Super and Quantum", Centre International de Rencontres Mathematiques - Marseille Luminy, Marseille, France, October 8, 2020. |
| Super-Teichmueller spaces: an introduction and some results, Moduli Spaces seminar, School of Mathematics and Statistics at the University of Melbourne, Australia, September 23, 2020. |
|
"Geometry of Bethe Equations and q-Opers",
(notes, stream) Informal string-math seminar (online), University of California, Berkeley, USA, June 8, 2020. |
|
Workshop
"Emergent Geometries from Strings and Quantum Fields", The Galileo Galilei Institute for Theoretical Physics, Ferenze, Italy, April 27 - May 8, 2020. |
|
"A geometric view of the Bethe ansatz equations: q-opers" AMS Sectional Meeting, 1157, Special Session on Integrability, Symmetry and Physics, Purdue University, West Lafayette, IN, April 4-5, 2020. |
|
"Super-Teichmueller spaces: old and new results"
(pdf) University of Virginia, Geometry seminar, USA, February 25, 2020. |
|
"Super-Teichmueller spaces and all that", Department of High Energy and Particles Physics, St. Petersburg State University, Russia, December 24, 2019. |
|
"The Bethe ansatz from geometry" MS Seminar (Mathematics - String Theory), Kavli Institute for the Physics and Mathematics of the Universe (IPMU), Tokyo, Japan, December 5, 2019. |
| "Homotopy Gerstenhaber algebras, Courant algebroids, and Field Equations," Tuesday Seminar on Topology, University of Tokyo, Japan, December 3, 2019. |
| Lectures:
"Introduction to the theory of super Riemann surfaces",
"N = 1 and N = 2 super-Teichmueller theory",
"Super-Teichmueller theory: some recent results"; Workshop "Super-Riemann surfaces and related topics", University of Tokyo, Japan, December 2-4, 2019. |
|
"q-opers, QQ-systems, and q-Langlands correspondence", Physically inspired mathematics seminar, The University of North Carolina at Chapel Hill, USA, November 15, 2019. |
|
"The geometric meaning of Bethe equations," Special Session on Geometric Methods in Representation Theory, II; AMS Fall Western Sectional Meeting, University of California, Riverside, USA, November 9, 2019. |
|
"Decorated super-Teichmueller spaces and super-Ptolemy relations"
(pdf), Special Session on Canonical Bases, Cluster Structures and Non-commutative Birational Geometry, I; AMS Fall Western Sectional Meeting, University of California, Riverside, USA, November 9, 2019. |
| "Super-Teichmueller spaces and related structures", Subfactor Seminar, Vanderbilt University, Nashville, USA, October 4, 2019. |
| "Super Teichmüller Space and the McShane Identity", Séminaire de Mathématiques, IHES, France, July 17, 2019. |
|
"Field Equations, Homotopy Gerstenhaber Algebras and Courant Algebroids,"
Representation Theory and Mathematical Physics Seminar, UC Berkeley, USA, April 16, 2019. |
|
"Quantum integrable systems via quantum K-theory," Math-Physics Joint Seminar, University of Pennsylvania, USA, March 14, 2019. |
| "Hidden Homotopy Symmetries of Einstein Field Equations" (pdf), Informal Geometry and Topology Seminar, Louisiana State University, USA, February 6, 2019. |
|
"Super-Teichmüller Spaces, Spin Structures, Penner Coordinates, and Applications,"
Special Seminar, Columbia University in the City of New York, USA, February 1, 2019. |
| "Thoughts on Supermoduli", Harmonic Analysis Seminar, Louisiana State University, USA, November 8, 2018. |
| "Super-Teichmüller spaces and related structures" (pdf), Workshop at Oberwolfach " New Trends in Teichmüller Theory and Mapping Class Groups", Germany, September 2-8, 2018. |
| "
Super-Teichmueller spaces and related structures", Thematic Program on Teichmüller Theory and its Connections to Geometry, Topology and Dynamics, The Fields Institute for Research in Mathematical Sciences, Toronto, Canada, July 17, 2018. |
|
"Super-Teichmueller Theory", University of California, Davis, QMAP Seminar, USA, April 6, 2018. |
| "Quantum Integrable Systems and Enumerative Geometry", Colloquium, Michigan State University, USA, February 5, 2018. |
| "Enumerative geometry and quantum integrable systems", Harmonic Analysis Seminar, Louisiana State University, USA, December 6, 2017. |
|
"Quantum equivariant K-theory and integrability", Enumerative Geometry Seminar, Columbia University, May 8, 2017. |
|
"Quantum Equivariant K-theory and Quantum Spin Chains", University of California, Davis, QMAP Seminar, USA, March 17, 2017. |
|
"Generalized Teichmueller Spaces, Spin Structures and Ptolemy Transformations,"
Louisiana State University, USA, February 6, 2017. |
|
"Generalized Teichmueller Spaces, Spin Structures and Ptolemy Transformations,",
Special Mathematics Colloquium, University of Arizona, USA, February 2, 2017. |
|
"Generalizations of Teichmueller space," Department Mathematics & Statistics, University of Massachusetts Amherst, USA, December 15, 2016. |
|
"Generalizations of Teichmueller Space" Special Department of Mathematics Colloquium, Purdue University, USA, December 6, 2016. |
|
"Super-Teichmueller spaces and new cluster transformations", Geometry, Physics and Representation theory seminar, Northeastern University, USA, December 1, 2016. |
|
"Penner coordinates on super-Teichmueller spaces"
(abstract),
Cluster Algebras Seminar, University of Notre Dame, USA, November 7, 2016. |
|
"Penner coordinates on super-Teichmueller spaces" (pdf), Representation Theory, Geometry, Combinatorics (RTTG) Seminar, UC Berkeley, USA, October 28, 2016. |
|
"N=1 and N=2 Super-Teichmueller theory,"
Cluster Algebras Seminar, University of Connecticut, USA, October 7, 2016. |
|
"Einstein field equations, Courant algebroids and Homotopy algebras,"
Geometric Structures Laboratory, The Fields Institute for Research in Mathematical Sciences, Canada, September 27, 2016. |
|
"Super-Teichmueller theory," Symplectic Seminar, University of Toronto, Canada, September 26, 2016. |
|
"Homotopy Gerstenhaber algebra as a hidden structure within Einstein equations,"
Centre for Quantum Geometry of Moduli Spaces, Aarhus University, June 30, 2016. |
|
"Super-Teichmueller theory," Center for Quantum Geometry of Moduli Spaces, Aarhus University, June 28, 2016. |
|
"Einstein equations, Beltrami-Courant differentials, and
Homotopy Gerstenhaber algebras,"
University of Nottingham, May 25-27, 2016. |
|
"Coordinates on the decorated super-Teichmueller spaces", Algebra and Combinatorics Seminar, North Carolina State University, April 18, 2016. |
|
"New cluster transformations and super-Teichmueller spaces", Physically Inspired Mathematics Seminar, The University of North Carolina at Chapel Hill, April 15, 2016. |
|
"Towards the continuous analogue of Kazhdan-Lusztig correspondence"
(video,
pdf), Workshop Vertex Algebras and Quantum Groups (16w5070) Banff International Research Station, Canada, February 7-12, 2016. |
|
"Einstein equations, Beltrami-Courant differentials and
Homotopy Gerstenhaber algebras," University of Pennsylvania, December 11, 2015. |
|
"On the Decorated Super-Teichmueller Spaces" , Math-Physics Joint Seminar, University of Pennsylvania, November 19, 2015. |
|
"Decorated Super-Teichmueller theory" Columbia University, New York, November 9, 2015. |
|
"Decorated Super-Teichmueller Space", Lie Groups Quantum Mathematics Seminar, Rutgers University, November 6, 2015. |
|
"Superopers and their properties", Int.Conf. Representation Theory and Related Topics, University of Connecticut, USA, May 11-12, 2015. |
|
"Beltrami-Courant Dierentials and Homotopy
Gerstenhaber algebras," The 30th International Colloquium on Group Theoretical Methods in Physics, Ghent University in Ghent, Belgium, 14-18 July, 2014. |
|
"Superopers on Supercurves," 567th WE-Heraeus Seminar "Integrable Lattice Models and Quantum Field Theories", Physikzentrum Bad Honnef, Germany, June 28 - July 2, 2014. |
|
"Sigma Models and Beltrami-Courant Differentials",
Mathematics Colloquia and Seminars, String Theory, University of California, Davis, USA, May 27, 2014. |
|
"Towards the unitary representations of affine sl(2,R)", Symplectic Geometry, Gauge Theory, and Categorification Seminar, Columbia University in the city of New York, USA, April 25, 2014. |
|
"Continuous series of affine sl(2,R), modular double of quantum group and all that"
, Institut des Hautes Etudes Scientifiques, Séminaire de Mathématiques, Serie de "Courts Exposes", Mardi 1er avril 2014. |
|
"Generalized Beltrami differentials, homotopy Gerstenhaber algebras and
sigma-models", Symplectic Geometry, Gauge Theory, and Categorification Seminar, Columbia University in the city of New York, USA, February 21, 2014. |
|
"On the continuous series for affine sl(2,R)", Emmy-Noether-Seminar, Emmy-Noether Zentrum, Department Mathematik, Friedrich-Alexander Universität Erlangen-Nürnberg, Germany, February 7, 2014. |
|
"Continuous series of affine sl(2,R) and beyond", Institute for Theoretical Physics, University of Cologne, Germany, January 16, 2014. |
|
"Generalized Beltrami differentials and homotopy Gerstenhaber algebras", Higher Differential Geometry Seminar, Max Planck Institute for Mathematics, Bonn, Germany, December 11, 2013. |
|
"Superopers on Supercurves", Working Group Algebra, Geometry and Quantization, University of Luxembourg, December 3, 2013. |
|
"On the construction of the continuous series of affine sl(2,R)", MPI-Oberseminar, Max Planck Institute for Mathematics, Bonn, Germany, November 7, 2013. |
|
"Conformal invariance for sigma models, Courant algebroids and homotopy algebras", Workshop Higher Geometric Structures along the Lower Rhine III, Utrecht University, The Netherlands, October 17-18, 2013. |
|
"Classical Field Equations, Courant Algebroids and Vertex Algebras",
Algebra Seminar, Temple University, Philadelphia, November 19, 2012. |
|
"Continuous series of affine sl(2,R) and its close friends",
Lie Group/Quantum Mathematics Seminar,
Rutgers University, November 9, 2012. |
|
"On the continuous series for affine sl(2,R)",
New York Applied Algebra Colloquium, CUNY Graduate Center, New York, October 19, 2012. |
|
"On the continuous series for $\widehat{sl(2,R)}$", "Algebraic structures of stringy sigma models and homotopy algebras", AMS Sectional Meeting, Tulane University, New Orleans, LA, USA, October 13-14, 2012. |
|
"Higgs effect for mathematicians", Columbia University, New York, July 31, 2012. |
|
"Equivalence of categories, semi-infinite cohomology and quantum groups"
(abstract), Southeastern Lie Theory Workshop on Categorification of Quantum Groups and Representation Theory, North Carolina State University, USA, April 21-22, 2012. |
|
"Lian-Zuckerman homotopy algebras, Courant/Vertex algebroids and beta-functions of string theory", Columbia Symplectic Geometry, Gauge Theory, and Categorification Seminar, Columbia University, New York, October 28, 2011. |
|
"Loop ax+b group, gamma-function and modular double," Columbia Informal Categorification and Representation Theory Seminar, Columbia University, New York, October 27, 2011. |
|
"Quantum group as semi-infinite cohomology," Columbia Informal Categorification and Representation Theory Seminar, Columbia University, New York, October 25, 2011. |
|
"Homotopy Relations for Topological VOA," AMS Sectional Meeting, Cornell University, Ithaca, NY, September 10-11, 2011. |
|
Lectures: "Introduction to Vertex Operator Algebras,"
"Vertex Algebroids", "Relation of VOA to the chiral algebras of Beilinson and Drinfeld," "Fusion tensor category for representations of affine Lie algebras," Columbia University, New York, July 6-9, 2011. |
|
"Homotopy relations for topological vertex operator algebras. Pt. 2," Seminar "Infinite Dimensional Algebraic Geometry," Yale University, New Haven, CT, June 16, 2011 (1124.pdf). |
|
"Homotopy relations for topological vertex operator algebras," Seminar "Infinite Dimensional Algebraic Geometry," Yale University, New Haven, CT, June 9, 2011 (1123.pdf). |
|
"N=4 Supersymmetric Yang-Mills theory as a harmonic oscillator of XXI century," Graduate Student Seminar, Yale University, New Haven, CT, April 15, 2011. |
|
"Homotopy BV algebras, Courant algebroids and String Field Theory," AMS Sectional Meeting, Richmond, VA, November 6-7, 2010. |
|
"Homotopy Algebras in their Applications in Geometry and Physics," Graduate Student Seminar, Yale University, New Haven, CT, February 12, 2010 . |
|
"From Lian-Zuckerman Algebras to the Algebraic Structure of Classical Field Equations," Lie Group/Quantum Mathematics Seminar, Rutgers University, January 29, 2010. |
|
"Twistor formalism for 10d super Yang-Mills and the Berkovits complex," Seminar "Infinite Dimensional Algebraic Geometry," Yale University, New Haven, CT, May 27, 2009 . |
|
"The Berkovits complex and super-Yang-Mills," Seminar "Infinite Dimensional Algebraic Geometry", Yale University, New Haven, CT, May 21, 2009 . |
|
"Algebraic structures related to D=10 N=1 SUSY Yang-Mills theory," Seminar "Infinite Dimensional Algebraic Geometry," Yale University, New Haven, CT, April 23, 2009 . |
|
"Field Equations from Homotopy Algebras of CFT," "Braided Vertex Algebras, Semi-infinite Cohomology and Quantum Group," AMS Sectional Meeting, Raleigh, NC, USA, April 4-5, 2009. |
|
"Berezin Integral, Equivariant Cohomology and Mathai-Quillen Formalism," Graduate Student Seminar, Yale University, New Haven, CT, October 31, 2008 |
|
Special Minicourse "Homotopy Structure of Gauge Theory," Simons Center For Geometry And Physics, Stony Brook University, Stony Brook, NY, March 20-21, 2008. |
|
"BRST, CFT and Classical Field Equations," Math-Physics Joint Seminar, University of Pennsylvania, Philadelphia, PA, February 29, 2008. |
|
"Gauge Theory and Homotopy Lie Algebra," Deformation Theory Seminar, University of Pennsylvania, Philadelphia, PA, February 27, 2008. |
|
"Gauge Theories and Homotopy Lie Algebras," Seminar "Infinite Dimensional Algebraic Geometry," Yale University, New Haven, CT, January 31, 2008. |
|
"BV Yang-Mills as a Homotopy Chern-Simons", informal lunch seminar of Particle Theory Group, Yale University, New Haven, CT, December 6, 2007. |
|
"Representations of quantum superalgebras and integrable structures of
superconformal field theory," Seminar on Department of High Energy and Elementary Particles Physics, Physics Faculty, St. Petersburg State University, Russia, May 22, 2007. |
|
"CFT and representations of quantum (super)algebras:
quantization of (super)KdV hierarchies," Seminar"Geometry, Symmetry and Physics," Yale University, New Haven, CT, November 30, 2006. |
|
"Quantum Toda-mKdV Hierarchies Based on Lie Superalgebras &
On the First Order Formalism in String Theory," High energy theory special seminar, Weizmann Institute of Science, Israel, May 18, 2005. part 1: Quantum KdV Hierarchies Based on Affine Lie Superalgebras part 2: On the First Order Formalism in String Theory |
|
"Integrability of Superconformal Field Theory and SUSY N=1 KdV," Cargèse Summer School "String Theory: from Gauge Interactions to Cosmology", Cargèse, France, June 7 - 19, 2004. |
|
"Classical and Quantum Inverse Scattering Methods for Integrable Systems with
Additional Symmetries: the Super-KdV Equation," GAMM 75th Annual Meeting, Dresden, Germany, 21-27 March, 2004. |
|
"Quantum inverse scattering method and Conformal field theories", International V. A. Fock School for Advances of Physics, XIIth session, St.Petersburg, Russia, 20 - 25 October 2003. |
| "Supersymmetric KdV model: classical case and quantization," Int.Conf. "Mysteries, Puzzles and Paradoxes in Quantum Mechanics," September 1-5, 2003, Garda Lake, Italy, September 1-5, 2003. |
|
"Supersymmetric extensions of the KdV equations, Drinfeld-Sokolov
reduction and inverse scattering," Int.Conf. "Patterns and Waves: Theory and Applications", St.Petersburg, Russia, July 8 - 12, 2002. |
RTMP Seminar
Georgia Tech Seminar (2026–present)Representation Theory, Moduli, and Physics Seminar Organized by: |
LSU Seminar (2021–2024)Mathematical Physics and Representation Theory Seminar Organized by: |
Conferences Organized
Simons Workshop: From Representation Theory to Mathematical Physics and BackMay 31 – June 4, 2022 Organized by: Proceedings: "From Representation Theory to Mathematical Physics and Back", Contemporary Mathematics, AMS, CONM/817, 2025 Editors: Mikhail Khovanov, Joshua Sussan, Anton Zeitlin |
Simons Program: Geometric and Representation-Theoretic Aspects of Quantum IntegrabilityAugust 29 – October 21, 2022 Organized by: |
Simons Workshop: Geometric Representation Theory, Integrability, and Supersymmetric Gauge TheoriesSeptember 26 – September 30, 2022 Organized by: |
Teaching
Georgia Institute of Technology
| Spring 2026 | MATH 6321 | Complex Analysis | |
| Spring 2026 | MATH 8803 | Representation Theory II | |
| Fall 2025 | MATH 8803 | Representation Theory I | |
| Spring 2025 | MATH 4432 | Introduction to Algebraic Topology | |
| Fall 2024 | MATH 3406 | Second Course in Linear Algebra |
Louisiana State University
| Spring 2024 | MATH 7550 | Differential Geometry | |
| Fall 2023 | MATH 7999 | Calculus I | |
| Spring 2023 | MATH 2057 | Multidimensional Calculus | |
| Fall 2022 | MATH 7590 | Complex Geometry | |
| Spring 2022 | MATH 7590-2 | Geometry and Physics | |
| Fall 2021 | MATH 4153 MATH 3903 | Finite Dimensional Vector Spaces Methods of Problem Solving | |
| Fall 2020 | MATH 1550 MATH 3903 | Calculus I Art of Problem Solving | |
| Spring 2020 | MATH 7550 MATH 2065 | Differential Geometry Elementary Differential Equations | |
| Fall 2019 | MATH 2057 | Calculus III | |
| Spring 2019 | MATH 7250 MATH 1022 | Representation Theory Plane Trigonometry | |
| Fall 2018 | MATH 1550 | Calculus I | |
| Fall 2017 | MATH 1550 | Calculus I |
Columbia University
| Spring 2017 | MATH GR6403 | Modern Geometry | |
| Fall 2016 | MATH UN1102 (006 & 007) | Calculus II | |
| Spring 2016 | MATH W4053 | Intro to Algebraic Topology | |
| Fall 2015 | MATH V1201 (010 & 011) | Calculus III | |
| Spring 2015 | MATH G6440 | Conformal Field Theory | |
| Fall 2014 | MATH V1201 (011 & 012) | Calculus III | |
| Spring 2013 | MATH V1101 | Calculus I | |
| Fall 2012 | MATH V1101 | Calculus I |
Yale University
| Spring 2012 | MATH 120b | Calculus of Functions of Several Variables | Lecturer |
| Spring 2011 | MATH 112b | Calculus of Functions of One Variable I | Lecturer |
| Spring 2010 | MATH 115b | Calculus of Functions of One Variable II | Lecturer |
| Spring 2009 | MATH 112b | Calculus of Functions of One Variable I | Lecturer |
| Spring 2008 | MATH 230 | Vector Calculus and Linear Algebra | Teaching Assistant |
| Spring 2007 | — | Calculus | Tutor |
Additional Lectures
| My Lectures on Conformal Field Theory Physics Faculty, St. Petersburg State University, Spring 2004 (Program) St. Petersburg Division of Steklov Mathematical Institute, Fall 2004 (Program) |
Miscellanea
Anton M. Zeitlin
|
I was born in St. Petersburg 
My parents are research scientists as well, working in applied mathematics and physics. More about my parents. During my PhD studies I used to play a lot of soccer and even captained the Math Department Team. 
New York doesn't offer that much of green fields, so I switched to ice hockey. 
And a couple of times a year I go downhill skiing. |