CV

Employment

  • July 2020-  Reader, Hodge Institute, University of Edinburgh
  • July 2019-  Associate Professor of Mathematics, UC Davis
  • July 2015-June 2019 Assistant Professor of Mathematics, UC Davis
  • Sep. 2015-June 2016 Senior Postdoc, Perimeter Institute for Theoretical Physics
  • Dec. 2013-Aug 2015 Long-Term Member, Institute for Advanced Study
  • Jan. 2011-Nov. 2013 Member, Institute for Advanced Study
  • Oct. 2010-Sep. 2015 Junior Research Fellow, Trinity College, Cambridge
  • Sep. 2010 Postdoc, Max Planck Institute for Mathematics, Bonn

Education

  • 2010 Ph.D. in Physics, Caltech
  • 2005 MASt in Theoretical Physics (Part III Maths), Cambridge
  • 2004 A.B. in Mathematics, Princeton

Honors and Awards

  • 2018-23 NSF CAREER Grant
  • 2017-18 UC Davis Hellman Fellow
  • 2010 Caltech Clauser Prize for Ph.D. Thesis
  • 2006-09 NDSEG Graduate Fellowship
  • 2004-05 Studentship in Mathematics, Trinity College, Cambridge
  • 2000 US Presidential Scholar

Grants

  • 2018-23 NSF Career Grant No. 1753077 The Algebraic Structures of 3d Gauge Theory $400,000
  • 2017-21 NSF Focused Research Group Grant No. 1664454 Homotopy Renormalization of Topological Field Theories $113,937
  • 2014-18 (Co-PI, PI: Piotr Sulkowski) ERC Support for Frontier Research Grant No. 335739 Quantum Fields and Knot Homologies $70,000

Publications

Recent teaching

Workshops and conferences organized

Talks and seminars given

Lecture series

Colloquiua

  • Holomorphic twists and boundary vertex algebras, QFT and Geometry Seminar, online (Aug 6, 2020)
  • 3d Gauge Theories and Representation TheoryHamburg ZMP Colloquium (Dec 5, 2019)
  • A 3d bridge between mathematics and physics, Amsterdam Math-Physics Colloquium (Apr 9, 2015)
  • A three-dimensional bridge between physics and mathematics, UT Austin (Jan 29, 2015)
  • A three-dimensional bridge between physics and mathematics, UC Davis  (Jan 23, 2015)
  • Chern-Simons theory with complex gauge group, UI Urbana-Champaign (Dec 17, 2014)

International conferences and workshops

Departmental seminars

  • 3D Mirror Symmetry and HOMFLY-PT Homology, Kansas State M-Seminar (July 23, 2020)
  • Algebra, Geometry, and Duality in 3d Gauge Theory, Edinburgh (Dec 9, 2019)
  • 3d Mirror Symmetry and Line Operators, Niels Bohr Institute, Copenhagen (Nov 26, 2019)
  • 3d Mirror Symmetry and HOMFLY-PT Homology, Yale (Nov 11, 2019)
  • 3d Homological Mirror Symmetry, U Penn (Nov 7, 2019)
  • 3D Mirror Symmetry and HOMFLY-PT Homology, Perimeter Institute (Oct 31, 2019)
  • 3D Mirror Symmetry and HOMFLY-PT Homology, UC Berkeley (Oct 21, 2019)
  • Categories of Line Operators in 3d N=4 Theories, Kavli IPMU (Oct 15, 2019)
  • Categories of line operators in 3d gauge theories, and homological 3d mirror symmetry, Oxford (May 6, 2019)
  • Categories of Line Operators in 3d N=4 Gauge Theories, Kansas State (April 8, 2019)
  • Categories of Line Operators in 3d N=4 Gauge Theories, Perimeter Institute (Oct 29, 2018)
  • Higher algebraic structures in SUSY QFT, Princeton (Oct 22, 2018)
  • Higher Products in Supersymmetric QFT, Imperial College London (Oct 4, 2018)
  • An Introduction to Physical Mathematics at St. John’s College, Oxford, Research Soiree, (May 3, 2018)
  • G-actions in quantum mechanics and Koszul duality, Oxford (May 14, 2018)
  • (0,2) dualities and 4-simplices, Oxford (June 4, 2018)
  • Koszul duality patterns in quantum field theory, UC Berkeley (Sept 18, 2017)
  • Equivariance and the Cosmological Constant, UT Austin geometry seminar (Apr 27, 2017)
  • Equivariance and the Cosmological Constant, Caltech (Mar 24, 2017)
  • 3d Theories, Boundaries, and Representations, UC Berkeley (Dec 6 2016)
  • 3d Index, Normal Surfaces, and Categorification, UT Austin (Apr 23, 2016)
  • Vortices, Monopoles, and Finite AGT, Rutgers (Apr 19, 2016)
  • 3d Gauge Theory and Geometric Representation Theory, U. Western Ontario, (Apr 6, 2016)
  • Applications of 3d Gauge Theory to Geometric Representation Theory, U. Melbourne (March 2, 2016)
  • The 3d Index, U. Melbourne (Feb 24, 2016)
  • Vortices, Monopoles, and Finite AGT, UC Santa Barbara (Feb 3, 2016)
  • Applications of 3d gauge theory to geometric representation theory, U. Toronto (Jan 25, 2016)
  • Symplectic duality and 3d gauge theory, Northeastern (Nov 16, 2015)
  • SL(2,C) Chern-Simons Theory, Perimeter Institute (Nov 4, 2015)
  • 3d Mirror Symmetry and Symplectic Duality, Princeton Mathematics (Oct 16, 2015)
  • 3d Gauge Theory and Symplectic Duality, Perimeter Institute (Oct 1, 2015)
  • Boundaries and D-modules in 3d N=4 theories, Perimeter Institute (Oct 1, 2015)
  • The Coulomb branch of 3d N=4 theories, U. Amsterdam (April 8, 2015)
  • The Coulomb Branch of 3d N=4 Theories, Oxford (March 9, 2015)
  • Geometric representation theory, symplectic duality, and 3d supersymmetric gauge theory, Georgia Tech (Jan 9, 2015)
  • Boundary conditions and symplectic duality in 3d N=4 theories, UC Davis (Dec 12, 2014)
  • 3d N=4 theories and knot homologies, UI Urbana-Champaign (Apr 24, 2014)
  • Boundary conditions and braids in 3d N=4 gauge theory, MIT (Apr 17, 2014)
  • Six is the new ten, IAS Math Conversation (Apr 9, 2014)
  • A Spectral Perspective on Neumann-Zagier, Michigan State (March 10, 2014)
  • Knot homology, symplectic duality, and 3d gauge theory, UT Austin (Feb 26, 2014)
  • A Spectral Perspective on Neumann-Zagier, Temple U. (Feb 18, 2014)
  • Framed flat connections, K-decompositions, and the 3d-3d correspondence at higher rank, Harvard (Feb 7, 2013)
  • A Spectral Perspective on Neumann-Zagier, UC Berkeley, (Jan 27, 2014)
  • A Spectral Perspective on Neumann-Zagier, U. Maryland (Nov 8, 2013)
  • Domain Walls and Janus Attractors, Rutgers (Oct 8, 2013)
  • 3-Manifolds and 3d Gauge Theories, U. Michigan (Jan 21, 2013)
  • 3-Manifolds and 3d Gauge Theories, UI Urbana-Champaign (Nov 30, 2012)
  • 3-Manifolds, K2-Lagrangians, and Quantization, UT Austin (Oct 18, 2012)
  • Supersymmetric boundary conditions, symmetry enhancement, and E7 surprises, Rutgers (Nov 27, 2012)
  • Holomorphic Blocks in 3d, Perimeter Institute (Nov 6, 2012)
  • The Quantum Content of the Gluing Equations, UC Berkeley (May 22, 2012)
  • 3d Domain Walls of Class R, U. Penn (April 10, 2012)
  • Non-Abelian Torsion and the Neumann-Zagier Equations, Columbia (Feb 3, 2012)
  • 3-Manifolds, 3d Gauge Theory, and 3d Indices, Caltech (Jan 6, 2012)
  • 3-Manifolds, 3d Gauge Theory, and 3d Indices, UC Berkeley (Nov 16, 2011)
  • 3-Manifolds and 3d Indices, Georgia Tech (Nov 4, 2011)
  • 3-Manifolds and 3d Indices, MIT (Oct 24, 2011)
  • 3-Manifolds, 3d Gauge Theory, and 3d Indices, Institute for Advanced Study (Oct 2011)
  • Liouville Theory and D-Modules, Rutgers (Apr 19, 2011)
  • A New Perspective on Gluing in TQFT, Caltech (Feb 11, 2011)
  • Quantum Curves in Chern-Simons Theory, Georgia Tech (Jan 19, 2011)
  • Quantum Riemann Surfaces, CERN, Geneva (Nov 25, 2010)
  • Quantum Riemann Surfaces, King’s College London (Nov 12, 2010)
  • Motivic Wall Crossing in Seiberg-Witten Theory, AMS Sectional Meeting, Mathematical String Theory (March 27, 2010)
  • Motivic Wall Crossing in Seiberg-Witten Theory, UC Berkeley (Dec 2009)
  • Multicenter black holes and refined microstate counting, Stanford (Apr 20, 2009)
  • A hyperbolic state sum model for SL(2,C) Chern-Simons theory, UC Santa Barbara (May 3, 2008)