Directory Information

Contact and directory information for Gregory W. Moore
Position Faculty
Research group High Energy Theory
Email gmoore@physics.rutgers.edu
Telephone (732) 445-4375
Dept. Fax (732) 445-4343
Office Serin E362
Mailing address
Greg Moore
NHETC
Department of Physics and Astronomy
Rutgers, The State University of New Jersey
136 Frelinghuysen Road
Piscataway, NJ 08854-8019 USA

Teaching

Research Activities

My work focuses on mathematical physics, with an emphasis on string theory, M-theory, and gauge theories more generally. My work places particular emphasis on the underlying mathematical structures and applications to and from modern mathematics. I like to call this endeavor "Physical Mathematics." For a detailed explanation of what this term means see the essay "Physical Mathematics and the Future". For a more up-to-date view see A Panorama Of Physical Mathematics c. 2022. The best way to see what I am currently working on is to look at the most recent talks I have given in the list below, or search for my papers on HEP SPIRES. Among my research interests are:

  1. The relation between four-dimensional twisted supersymmetric theories and topological invariants of manifolds, leading to new insights into quantum field theory and low-dimensional differential topology.
  2. The development of topological field theory and the "functorial formulation of quantum field theory," closely related to recent developments in generalizations of symmetry in field theory.
  3. The theory of branes and generalized abelian gauge theories in supergravity, involving topological issues related to generalized differential cohomology theories, especially K-theory, self-dual fields, anomaly cancellation, and noncommutative geometry.
  4. Two-dimensional conformal field theories and vertex operator algebras; rational CFTs and applications to anyons, nonabelions, and moonshine phenomena.
  5. Mathematics associated to BPS state counting: wall-crossing phenomena, relations to Hitchin systems and hyperkähler geometry, spectral networks, exact WKB, and homotopical algebra structures in QFT.
  6. Effective low energy supergravity theories in string compactification and nonperturbative stringy effects in effective supergravities.
  7. Applications of automorphic forms to conformal field theory, string compactification, black hole entropy counting, and AdS/CFT.
  8. Other potential connections to number theory.
  9. String field theory.
  10. String cosmology and time-dependence in string theory.
  11. Does the alleged "landscape of N=1 effective four-dimensional string vacua" really exist?

Expository, Historical, and Philosophical

  1. "What is a brane?" Published in: Notices of the American Mathematical Society, Vol. 52, No. 2, pp. 214–215.
  2. "How many black holes fit on the head of a pin?" (with Frederik Denef). Published in: Int. J. Mod. Phys. D17 (2008) 679–684; Gen. Rel. Grav. 39 (2007) 1539–1544.
  3. "The Impact of D-branes on Mathematics". Written for a panel at JOEFEST at the KITP, February 2014.
  4. "Response to the 2014 Eisenbud Prize".
  5. "Some Comments on Physical Mathematics". An expansion written for the 2014 Heineman Prize. The accompanying talk is available here (PowerPoint).
  6. "Physical Mathematics and the Future". Vision talk from Strings 2014 in Princeton. Video available from the conference website and on YouTube.
  7. Snowmass Whitepaper: Physical Mathematics 2021 (with I. Bah, D. Freed, N. Nekrasov, S. Razamat, and S. Schaefer-Nameki). A much longer version is A Panorama Of Physical Mathematics c. 2022.

Publications

Almost all publications after August 1991 are available on the e-print arXiv.

  1. Anomalous Inequivalence of Phenomenological Theories (with A. Manohar). Nucl. Phys. B243 (1984) 55.
  2. Anomalies and Odd Dimensions (with L. Alvarez-Gaumé and S. Della Pietra). Ann. Phys. (1985) 288.
  3. Anomalies in Nonlinear Sigma Models (with P. Nelson). Phys. Rev. Lett. 53 (1984) 1519.
  4. Constraints on a Two-Higgs Interpretation of the ζ(8.3) (with H. Georgi and A. Manohar). Phys. Lett. 149B (1984) 234.
  5. The Aeteology of Sigma Model Anomalies (with P. Nelson). Comm. Math. Phys. 100 (1985) 83.
  6. A Comment on Sigma Model Anomalies (with A. Manohar and P. Nelson). Phys. Lett. 152B (1985) 68.
  7. Measure for Moduli (with P. Nelson). Nucl. Phys. B266 (1986) 58.
  8. An Off-Shell Propagator for String Theory (with A. Cohen, P. Nelson, and J. Polchinski). Nucl. Phys. B267 (1986) 143.
  9. An Invariant String Propagator (with A. Cohen, P. Nelson, and J. Polchinski). In Unified String Theories, D. Gross and M. Green eds., World Scientific (1986).
  10. Strings and supermoduli (with P. Nelson and J. Polchinski). Phys. Lett. B169 (1986) 47; B201 (1988) 579(E).
  11. Heterotic geometry (with P. Nelson). Nucl. Phys. B274 (1986) 509.
  12. An O(16)×O(16) Heterotic String (with L. Alvarez-Gaumé, P. Ginsparg, and C. Vafa). Phys. Lett. 171B (1986) 155.
  13. Theta Functions, Modular Invariance, and Strings (with L. Alvarez-Gaumé and C. Vafa). Comm. Math. Phys. 106 (1986) 1.
  14. Semi-Off-Shell String Amplitudes (with A. Cohen, P. Nelson, and J. Polchinski). Nucl. Phys. B281 (1986) 127.
  15. Modular forms and Two-Loop String Physics. Phys. Lett. 176B (1986) 369.
  16. Bosonization in Arbitrary Genus (with L. Alvarez-Gaumé, J. B. Bost, P. Nelson, and C. Vafa). Phys. Lett. 178B (1986) 41.
  17. Bosonization on higher genus Riemann surfaces (with L. Alvarez-Gaumé, J. B. Bost, P. Nelson, and C. Vafa). Commun. Math. Phys. 112 (1987) 503.
  18. Modular forms and the cosmological constant (with J. Harris, P. Nelson, and I. Singer). Phys. Lett. 178B (1986) 167; B201 (1988) 579(E).
  19. Modular Forms and Multiloop String Physics. In Proceedings of the VIIIth International Congress on Mathematical Physics, Marseille. World Scientific, 1987, pp. 776–783.
  20. Atkin-Lehner Symmetry. Nucl. Phys. B293 (1987) 139.
  21. Vanishing Vacuum Energies for Nonsupersymmetric Strings. In Nonperturbative Quantum Field Theory (Cargese lectures). Plenum.
  22. Quasicrystalline Compactification (with J. Harvey and C. Vafa). Nucl. Phys. B304 (1988) 269.
  23. Some Remarks on Two-Loop Superstring Calculations (with A. Morozov). Nucl. Phys. B306 (1988) 387.
  24. Some global issues in string perturbation theory (with J. J. Atick and A. Sen). Nucl. Phys. B308 (1988) 1–101.
  25. Rationality in Conformal Field Theory (with G. Anderson). Comm. Math. Phys. 117 (1988) 441.
  26. Catoptric tadpoles (with J. J. Atick and A. Sen). Nucl. Phys. B307 (1988) 221.
  27. Strings in the Operator Formalism (with L. Alvarez-Gaumé, C. Gomez, and C. Vafa). Nucl. Phys. 303 (1988) 455.
  28. Polynomial Equations for Rational Conformal Field Theories (with N. Seiberg). Phys. Lett. 212B (1988) 451.
  29. Naturality in Conformal Field Theory (with N. Seiberg). Nucl. Phys. B313 (1989) 16.
  30. Classical and Quantum Conformal Field Theory (with N. Seiberg). Commun. Math. Phys. 123 (1989) 177.
  31. Taming the Conformal Zoo (with N. Seiberg). Phys. Lett. 220B (1989) 422.
  32. A Comment on Quantum Group Symmetry in Conformal Field Theory (with N. Reshetikhin). Nucl. Phys. B328 (1989) 557.
  33. Remarks on the Canonical Quantization of the Chern-Simons-Witten Theory (with S. Elitzur, A. Schwimmer, and N. Seiberg). Nucl. Phys. B326 (1989) 108.
  34. Rational Conformal Field Theory and Group Theory (with N. Seiberg). In the proceedings of the Schloss Ringberg conference, April 1989.
  35. Lectures on Rational Conformal Field Theory (with N. Seiberg). In Strings '89, Proceedings of the Trieste Spring School on Superstrings, 3–14 April 1989. World Scientific, 1990.
  36. The Ising model, the Yang-Lee edge singularity, and 2D quantum gravity (with Č. Crnković and P. Ginsparg). Phys. Lett. 237B (1990) 196.
  37. Nonabelions in the fractional quantum Hall effect (with N. Read). Nucl. Phys. B360 (1991) 362.
  38. Geometry of the String Equations. Commun. Math. Physics 133 (1990) 261–304.
  39. Physical Solutions for Unitary-Matrix Models (with M. Douglas and C. Crnković). Nucl. Phys. B360 (1991) 507.
  40. Simplex Equations and Their Solutions (with I. Frenkel). Commun. Math. Phys. 138 (1991) 259.
  41. Matrix Models of 2D Gravity and Isomonodromic Deformation. In Common Trends in Mathematics and Quantum Field Theories, T. Eguchi et al., eds., Prog. Theor. Phys. Suppl. 102. Also in the Proceedings of the 1990 Cargèse Workshop, with a slightly improved version.
  42. Multicritical Multi-Cut Matrix Models (with Č. Crnković). Phys. Lett. B257 (1991) 322.
  43. Double-Scaled Field Theory at c=1. Nucl. Phys. B368 (1992) 557–590.
  44. Boundary Operators in 2D Gravity (with E. Martinec and N. Seiberg). Phys. Lett. B263 (1991) 190.
  45. From Loops to States in 2D Quantum Gravity (with N. Seiberg and M. Staudacher). Nucl. Phys. B362 (1991) 665.
  46. Loop Equations and the Topological Phase of Multi-Cut Matrix Models (with Č. Crnković and M. Douglas). hep-th/9108014; Int. J. Mod. Phys. A7 (1992) 7693–7711.
  47. From Loops to Fields in 2D Quantum Gravity (with N. Seiberg). Int. J. Mod. Phys. 7A (1992) 2601.
  48. Exact S-Matrix for 2D String Theory (with R. Plesser and S. Ramgoolam). hep-th/9111035; Nucl. Phys. B377 (1992) 143–190.
  49. Gravitational Phase Transitions and the Sine-Gordon Model. A version with figures is available here.
  50. Classical Scattering in 1+1 Dimensional String Theory (with R. Plesser). hep-th/9203060; Phys. Rev. D46 (1992) 1730–1736.
  51. Fractional quantum Hall effect and nonabelian statistics (with N. Read). hep-th/9111035. In proceedings of 4th Yukawa International Symposium.
  52. The partition function of 2d string theory (with R. Dijkgraaf and R. Plesser). hep-th/9208031; Nucl. Phys. B394 (1993) 356–382.
  53. Lectures on 2D Gravity and 2D String Theory (with P. Ginsparg). hep-th/9304011. In Recent Directions in Particle Theory, J. Harvey and J. Polchinski, eds., World Scientific, 1993.
  54. Finite in All Directions. hep-th/9305139.
  55. Symmetries and Symmetry-Breaking in String Theory. hep-th/9308052. In International Workshop on Supersymmetry and Unification of Fundamental Forces, P. Nath, ed., World Scientific, 1993.
  56. Symmetries of the bosonic string S-matrix. hep-th/9310026.
  57. Large N 2D Yang-Mills Theory and Topological String Theory. arXiv:hep-th/9402107. Commun. Math. Phys. 185 (1997) 543–619.
  58. Chaotic Coupling Constants (with J. Horne). Nucl. Phys. B432 (1994) 109–126.
  59. Addendum to "Symmetries of the Bosonic String S-Matrix." arXiv:hep-th/9404025. Nucl. Phys. B432 (1994) 109–126.

Some Talks

  1. "Life After RCFT," Soviet-American Workshop on String Theory, Princeton University, Oct. 30–Nov. 2, 1989. Slides available here (PDF).
  2. Lectures at the Les Houches Meeting on Number Theory, Geometry, and Physics. March 9–21, 2003.
  3. Localized tachyon flows and Hirzebruch-Jung spaces, Institut des Hautes Études Scientifiques, Paris, June 15, 2004.
  4. On the quantization of Page charges, Institut des Hautes Études Scientifiques, Paris, June 23, 2004.
  5. Anomalies, Gauss Laws, and Page charges, Strings 2004, Paris, July 1, 2004.
  6. Testing some Black Hole/Topological String conjectures, Institute for Advanced Study, April 11, 2005.
  7. Lie Algebras, BPS States, and String Duality, Summer Workshop on Groups and Algebras in M-theory, Rutgers Math Department, May 31, 2005.
  8. Black Holes and Arithmetic, Mathematische Arbeitstagung, Max Planck Institute, Bonn, Germany, June 11, 2005.
  9. Remarks on the Hamiltonian Formulation of Some Generalized Abelian Gauge Theories, workshop on Geometric Topology and Connections with Quantum Field Theory, Oberwolfach, Germany, June 13, 2005.
  10. Noncommutativity of Electric and Magnetic Fluxes, Amsterdam Workshop on String Theory, June 22, 2005.
  11. Electric and Magnetic Flux Do Not Commute, Aspen Workshop in Superstring Cosmology, Aspen, CO, August 9, 2005.
  12. Mathematics Aspects of Fluxes, KITP Workshop on Mathematics of String Theory, Santa Barbara, October 11, 2005.
  13. An uncertainty principle for fluxes, with applications to self-dual fields, CUNY, June 28, 2006 (26th International Colloquium on Group Theoretical Methods in Physics).
  14. Split Polar Attractors, Harvard, September 29, 2006.
  15. Wall-crossing and an entropy enigma, Strings 2007, Madrid, June 28, 2007. Video (question period).
  16. An Uncertainty Principle for Topological Sectors, Jürg Fröhlich birthday celebration, Zurich, July 2, 2007. PDF version available here.
  17. Wall-crossing formulae for BPS states and some applications, Clay Mathematics Institute workshop on K3s and modular forms, Cambridge, MA, March 20, 2008.
  18. Four lectures on modular forms and black hole entropy, Trieste Spring School on Superstrings, March 25–April 4, 2008. TeX lecture notes available here. PDF handwritten notes: Lecture I, Lecture II, Lecture III, Lecture IV.
  19. Four-dimensional wall-crossing from three-dimensional field theory, KITP Miniprogram on Langlands Duality, July 31, 2008.
  20. Wall-crossing formulae for BPS states and some applications, Zurich Prestrings, August 11, 2008.
  21. Four-dimensional wall-crossing from three-dimensional field theory, Zurich Prestrings, August 12, 2008.
  22. Mathematical Foundations of Orientifolds, Zurich Prestrings, August 14, 2008.
  23. Update on Wall-Crossing, Strings 2008, CERN, August 22, 2008. Video available here.
  24. Four-dimensional wall-crossing from three-dimensional field theory (improved), 3rd New England String Meeting, Brown University, October 24, 2008.
  25. Extremal N=2, 2D CFT and Constraints of Modularity, Institute for Advanced Study, November 5, 2008.
  26. Overview of the theory of Self-dual fields, AMS Meeting, Washington DC, January 8, 2009. PDF version here.
  27. Four-dimensional wall-crossing from three-dimensional field theory, Simons Center Workshop, Stony Brook, January 13, 2009.
  28. Orientifolds, Twisted Cohomology, and Self-Duality, Conference on Perspectives in Mathematics and Physics in honor of I. M. Singer's 85th birthday, MIT, May 23, 2009. See also the talk by Dan Freed and the talk by Jacques Distler.
  29. BPS States, Hitchin Systems, and the WKB Approximation, Workshop on Mirror Symmetry, Hausdorff Center for Mathematics, Bonn, June 3, 2009.
  30. Minicourse given at the Galileo Galilei Institute and at Frascati, June 2009: Lecture 1 (BPS wall-crossing basics); Lecture 2 (KSWCF and hyperkähler geometry); Lecture 3 and Lecture 4 (relation to Hitchin Systems and WKB).
  31. The RR charge of an orientifold, Michigan Conference on Topology and Physics, Ann Arbor, February 7, 2010, and Oberwolfach, June 8, 2010.
  32. Say "halo!" to new walls and new indices, Strings 2010, Texas A&M, March 15, 2010. Video available here.
  33. Line Operators in N=2 Gauge Theories, Simons Center Workshop on Quantum Teichmüller Theory, SUNY Stony Brook, March 30, 2010. Paper available here.
  34. PiTP Lectures on Wall-Crossing, PiTP School at the Institute for Advanced Study, July 27–29, 2010. Video available here.
  35. Minicourse on Generalized Abelian Gauge Theories, Self-Duality, and Differential Cohomology, Simons Center Workshop, January 11–14, 2011. Lecture notes. Video available here.
  36. Surface defects in d=4, N=2 theories, BPS states, wall-crossing, and hyperkähler geometry, Simons Center Workshop on Branes and Bethe Ansatz, March 25, 2011. Lecture notes. Video available here.
  37. Modular Tensor Categories from Six Dimensional Field Theories, Symposium for Michael Freedman's 60th Birthday, KITP, UCSB, April 16, 2011. Video available here.
  38. Surface defects and the BPS spectrum of 4d N=2 theories, IHES, Paris, May 17, 2011. PowerPoint; Solvay Conference version (PDF).
  39. On Recent Applications of Six Dimensional (0,2) Theory to Physical Mathematics, Strings 2011, Uppsala, Sweden, June 29, 2011. PowerPoint; PDF. Video available here.
  40. Three Transverse Intersections Between Physical Mathematics and Condensed Matter Theory, conference in honor of Duncan Haldane's 60th birthday, Princeton, September 14, 2011. PowerPoint; PDF.
  41. Physical relation of Donaldson to Seiberg-Witten invariants — 4.5-hour lecture, Simons Center for Geometry and Physics, March 8, 2012. Video here; lecture notes here.
  42. Spectral Networks and Their Applications, Caltech, March 30, 2012.
  43. Progress in D=4, N=2 Field Theory, Strings-Math 2012, Bonn, July 2012.
  44. Lectures at St. Ottilien: Quantum Symmetries and K-Theory. Lecture notes here.
  45. Plenary talk at the ICMP, Aalborg, Denmark, August 8, 2012. PowerPoint; PDF.
  46. Felix Klein Lectures: "Applications of the six-dimensional (2,0) theory to physical mathematics," Hausdorff Institute for Mathematics, Bonn, October 1–11, 2012. Lecture notes (under construction) here. Videos here.
  47. BPS Degeneracies and Hyperkähler Geometry — the talk planned for Simons Center (hurricane Sandy prevented delivery), October 2012.
  48. Report on work in progress with D. Gaiotto and E. Witten, "Aspects of Topology" conference for G. Segal's 70th birthday. PowerPoint; PDF.
  49. Talk at SCGP workshop "Topological Phases of Matter". PDF. Video here.
  50. Talk at Strings 2013, Seoul, South Korea. PDF. Video here.
  51. Update on "Algebra of the Infrared" (with Gaiotto and Witten), SCGP conference "Quiver Varieties," October 15, 2013. PowerPoint; PDF.
  52. "Algebra of the Infrared: Massive d=2 N=(2,2) QFT," KITP Workshop on Nonperturbative Methods in Field Theory, March 11, 2014. PowerPoint; PDF.
  53. "Web formalism and the IR limit of d=2 N=(2,2) QFT," String-Math 2014, June 12, 2014. PowerPoint; PDF.
  54. Lectures at the Erwin Schrödinger Institute, Vienna, August 18–21, 2014, reviewing "Twisted Equivariant Matter." Extended notes here; truncated lecture version here.
  55. Lectures at Journées de Physiques Mathématiques Lyon on "BPS States, Hitchin Systems, and Quivers," Sept. 3–5, 2014. Lecture 1 (PDF); PowerPoint.
  56. "Algebraic structure of the IR limit of massive d=2 N=(2,2) QFT," IAS, October 13, 2014. PDF; PowerPoint.
  57. "Web formalism and the IR limit of massive 2D N=(2,2) QFT," SCGP, November 17, 2014. PDF; PowerPoint.
  58. Three talks at the Conference on Homological Mirror Symmetry, January 26–30, 2015. Lecture notes here.
  59. Talks on LG models and the web formalism, Harvard and Brandeis, March 5–6, 2015. Harvard version (physics audience); Brandeis version (math audience).
  60. "Measuring the elliptic genus" (video), Perimeter Institute workshop on Mock Modularity, Moonshine, and String Theory, April 17, 2015.
  61. Two pedagogical lectures, "Quantum Mechanics And The 10-Fold Way," PiTP School, Institute for Advanced Study, July 27–28, 2015. Videos here. Typed lecture notes also available.
  62. "Measuring The Elliptic Genus" (PowerPoint), AndyFest, Harvard, July 31, 2015. PDF version.
  63. "Physics Predictions For L² Kernels Of Dirac-Like Operators On Monopole Moduli Spaces" (video), Isaac Newton Institute, Cambridge, August 13, 2015.
  64. Three lectures "Quantum Mechanics And 10-Fold Ways," Arnold Sommerfeld Center, Munich, September 2015. Videos here. Handwritten notes: Lecture 1, Lecture 2, Lecture 3.
  65. "Monopolia," Brown University, November 6, 2015. PowerPoint; PDF. Longer version (CUNY, December 4): PowerPoint; PDF.
  66. "d=4, N=2 Field Theory and Physical Mathematics", AMS graduate student chapter, Rutgers, December 17, 2015.
  67. Talk on monopoles and BPS states (PDF) — prepared for University of Miami conference in honor of Ron Donagi's 60th birthday, January 2016 (United Airlines delays prevented delivery).
  68. Talk for Dave Morrison's 60th birthday, Caltech, February 25, 2016. PowerPoint; PDF.
  69. Updated "Monopolia," Nambu Memorial Symposium, March 13, 2016. PowerPoint; PDF.
  70. Colloquium on four-dimensional N=2 field theories and BPS states. Johns Hopkins version (April 11, 2016): PowerPoint; PDF. Improved Yale version (February 23, 2017): PowerPoint; PDF. CERN version (July 12, 2017): PowerPoint.
  71. Updated CY workshop talk, Herstmonceux Castle, June 23, 2016. PowerPoint; PDF. Further updated for SCGP workshop on Automorphic Forms and String Theory, August 31, 2016: PowerPoint. Yale version (November 15, 2016): PowerPoint; PDF.
  72. StringMath 2016, Paris, June 27, 2016. PowerPoint; PDF; Aspen version (PDF).
  73. Dirac Medal ceremony talk, Trieste, August 8, 2016. PowerPoint; PDF.
  74. NatiFest, Institute for Advanced Study, September 15, 2016. PowerPoint; PDF.
  75. "Three Remarks on N=2 d=4 Field Theory," PCTS conference, March 2017. PowerPoint; PDF. Conference details here. Ascona version (July 3, 2017): PowerPoint; PDF.
  76. PCTS panel discussion remarks (Quantum Hall Effect), March 8, 2017. PowerPoint; PDF. Conference details here.
  77. Lecture notes: "The Physical Approach To Donaldson And Seiberg-Witten Invariants" (under construction). Notes (PDF). Videos on SCGP video portal. Fourth lecture (April 26, 2017): PowerPoint; PDF. Handwritten notes: Lecture 1, Lecture 2, Lecture 3.
  78. Über T-Dualische Transformationen: Giving Orbifold Groups A Lyft, Aspen workshop "New Moonshines and Quantum Gravity," June 15, 2017.
  79. u-plane integral and partition functions of twisted supersymmetric field theories, Euro-Strings Conference, King's College London, April 2018. PDF; PowerPoint.
  80. Cancellation of global anomalies in six-dimensional supergravity theories, MIT, May 16, 2018. PDF; PowerPoint.
  81. "Partition Functions Of Twisted Supersymmetric Gauge Theories On Four-Manifolds via u-Plane Integrals," StringMath 2018, Sendai, June 20, 2018. PowerPoint; PDF.
  82. "Global Anomalies In Six-Dimensional Supergravity," Strings 2018, Okinawa, June 29, 2018. PowerPoint; PDF.
  83. Three lectures on class S field theories, Hamburg School on Higgs Bundles, September 10–13, 2018. Background reading: ITP lectures on D-branes; article in Notices of the AMS. Lecture notes: Lecture 1, Lecture 2, Lecture 3.
  84. Colloquium "Four-dimensional N=2 supersymmetric field theories and Physical Mathematics," Stanford, November 27, 2018. PowerPoint; PDF.
  85. "K3 Surfaces, Mathieu Moonshine, and (Quantum) Error Correcting Codes," conference "Between Topology And Quantum Field Theory" for Dan Freed's 60th birthday, Austin TX, January 15, 2019. PowerPoint; PDF.
  86. "Categorified Wall Crossing And Twisted Masses," Simons Center for Geometry and Physics workshop on holomorphic differentials, February 6, 2019. Video available at SCGP video portal.
  87. "Categorified Wall Crossing And Twisted Masses — v2," SCGP workshop on Challenges at the Interface of Hitchin Systems and String Theory, March 21, 2019. Video; lecture notes (PDF).
  88. "Moonshine Phenomena, Supersymmetry, and (Quantum) Error Correcting Codes," conference for Nick Read's 60th birthday, Yale, April 12, 2019. PowerPoint; PDF.
  89. Public lecture, "The Universe Speaks in Numbers," Institute for Advanced Study, May 29, 2019. Slides. Park City Mathematics Institute version (July 9, 2019): PowerPoint; PDF.
  90. Pedagogical lectures on Chern-Simons theory, TASI School, June 3, 2019. Preliminary lecture notes here.
  91. Overview of papers by Gaiotto, Moore, and Neitzke, IAS group meeting, September 18, 2019. Lecture notes.
  92. "Branes And Interfaces For 2D Landau-Ginzburg Models With Twisted Masses," DESY workshop and UT Austin, November–December 2019. Slides (PDF).
  93. Invited address, Joint Mathematics Meeting, Denver, January 18, 2020. PowerPoint; PDF; video.
  94. "Breaking News, About N=2* SYM on Four-Manifolds, Without Spin," Western Hemisphere Colloquium on Geometry and Physics, July 20, 2020. PowerPoint; PDF.
  95. "Moonshine Phenomena, Supersymmetry, and Quantum Codes," Caltech Zoominar, August 14, 2020. PowerPoint; PDF.
  96. "N=2* Supersymmetric Yang-Mills Theory, Four-Manifold Invariants, And Mock Modularity," KITP conference on modularity, December 3, 2020. PowerPoint; PDF.
  97. Background remarks for Fei Yan's talk at Simons Collaboration on special holonomy.
  98. Talk on N=2* SYM and four-manifold invariants (video), IAS, March 15, 2021.
  99. Talk on N=2* and four-manifold invariants, Newton Institute workshop "New connections in number theory and physics." PowerPoint; PDF.
  100. "2d Categorical Wall-Crossing With Twisted Masses And An Application To Knot Invariants." IPMU conference version (video): here. Yan Soibelman M-seminar version (September 22, 2021): PowerPoint; PDF; video. Shorter Rome version (September 29, 2021): PowerPoint; PDF. Videos from the Academia Nazionale dei Lincei conference: here.
  101. Short presentation with Nikita Nekrasov, Simons Collaboration on Global Categorical Symmetry kickoff meeting. PowerPoint.
  102. "Summing Over Bordisms In TQFT," Harvard CMSA, March 16, 2022. PowerPoint; PDF; YouTube video.
  103. Mathematics of square dancing, MikeFest (60th birthday conference for Mike Douglas), IHES, May 11, 2022. PowerPoint. All talks available here.
  104. Talk for Jeff Harvey's 65th birthday, JeffFest, University of Chicago, May 14, 2022. PowerPoint. All talks here.
  105. Talk for Sasha Goncharov's 60th birthday, Yale (via Zoom), May 23, 2022. PowerPoint.
  106. Talk for Igor Frenkel's 70th birthday, SCGP (via Zoom), June 3, 2022. PowerPoint; PDF.
  107. "Quantum Field Theory and Invariants Of Smooth Manifolds," British Math Colloquium (via Zoom), June 6, 2022. PowerPoint; PDF. Video here.
  108. "Three Pedestrian Overpasses Between Number Theory And Physics," Isaac Newton Institute, Cambridge, August 25, 2022. PowerPoint; PDF. Conference website.
  109. "Square Dancing And Its Relation To Mathematics" (with Karin Rabe), Kansas State University Art and Mathematics Seminar, October 27, 2022. Summary; video recording.
  110. "Some Questions Of Possible Interest To This Collaboration," Simons Collaboration on Global Categorical Symmetry, New York, November 18, 2022. PowerPoint; PDF. Video available online.
  111. "Summing Over Bordisms In TQFT," Cardiff University geometry/mathematical physics series, November 22, 2022. PowerPoint; PDF.
  112. "Supersymmetric QFT And Invariants Of Smooth Four-Manifolds," Zhejiang University (via Zoom), January 3, 2023. PowerPoint; PDF.
  113. "Finite Symmetries Of Field Theory From TQFT," Oxford University Symmetry Seminar (via Zoom), May 23, 2023. PowerPoint; PDF.
  114. Four lectures at TASI School "Aspects Of Symmetry," June 12–16, 2023. Conference website. Lecture notes: Lecture 1 (topological field theory), Lecture 2 (generalized abelian gauge theory), Lectures 3–4 (differential cohomology), Extended TFT and defects (incomplete).
  115. "Square Dancing And Its Relation To Mathematics" (with Karin Rabe), TASI 2023, June 13, 2023. Video. Erratum (slide 35, ~27:30): The set of dancer states over generic FASRs has 8 possible states, not 4, with structure group G = (ℤ/4ℤ × ℤ/4ℤ)/D where D ≅ ℤ/2ℤ is generated by (2,2). The situation is further complicated on special FASRs.
  116. "Finite Symmetries Of Field Theory From TQFT," Strings In Seoul, September 15, 2023 (via Zoom). PowerPoint; PDF. Video.
  117. "On The Physical Mathematics Dialogue," conference "Mathematics in Science: Perspectives and Prospects," Harvard CMSA, October 27, 2023. PowerPoint; PDF; video.
  118. "Update On Susy Field Theory And Invariants Of Smooth Four-Manifolds," IAS, February 2, 2024. PowerPoint; PDF; video.
  119. "Update On Susy Field Theory And Invariants Of Smooth Four-Manifolds," StringMath 2024, ICTP, June 14, 2024. PowerPoint; PDF; video.
  120. "From Rational Conformal Field Theory To Modular Tensor Categories To Nonabelions," Plectics Laboratories series "Perspectives in Theoretical Physics," September 26, 2024. PowerPoint; PDF; video. Erratum: "Deligne center" should read "Drinfeld center."
  121. "Summing Over Bordisms In TQFT: deja vu," Harvard CMSA Workshop on Symmetries and Gravity, January 24, 2025. PowerPoint; PDF.
  122. "p-form puzzles," Harvard CMSA Workshop, Quantum Field Theory and Topological Phases via Homotopy Theory and Operator Algebras, July 10, 2025. Video.
  123. "Topics in the Relation of Four-Manifold Invariants and Supersymmetric Field Theory," Harvard CMSA, February 19, 2026. PDF.

Clay Mathematical Institute Lectures

D-branes and K-theory in 2D Topological Field Theory

If you are looking for "D-branes and K-theory in 2D topological field theory," hep-th/0609042, it is available as: