Publication list

Virtual Classes of Representation Varieties of Upper Triangular Matrices via Topological Quantum Field Theories (with Jesse Vogel), submitted, (2020)

Non-Noetherian representation categories of generalized fields (with Maël Denys and Giacomo Negrisolo), submitted, (2020)

Weak E2-Morita equivalences via quantization of the 1-shifted cotangent bundle submitted, (2018)

Algebraic Geometry over the residue field of the infinite place (with Mate L. Juhász), Communications in Algebra, Volume 46, Issue 10, 4149-4173 (2018)

Derived intersections over the Hochschild cochain complex submitted, (2016)

Explicit computations of Hida families via overconvergent modular symbols (with Evan Dummit, Robert Harron, Lalit Jain, Robert Pollack, Daniel Ross), Research in Number Theory, 2:25, (2016)

Hodge theorem for the logarithmic de Rham complex via derived intersections, submitted, (2015)

On the number of rich lines in high dimensional real vector spaces (with Zachary Scherr), Discrete and Computational Geometry, 55(4), 955-962, (2016)

Formality of derived intersections and the orbifold HKR isomorphism (with Dima Arinkin and Andrei Caldararu), to appear in Journal of Algebra, (2014)

On the joints problem with multiplicities submitted, (2014)

Derived intersections and the Hodge theorem (with Dima Arinkin and Andrei Caldararu), Algebraic Geometry 4 (2017), 394-423

An incidence conjecture of Bourgain over fields of positive characteristic (with Jordan S. Ellenberg), Forum of Mathematics, Sigma, 4, E23 (2016)

Kakeya sets over non-archimedean local rings (with Evan Dummit) Mathematika, 59, 257-266, (2013)

Power map permutations and symmetric differences in finite groups (with Guillermo Mantilla-Soler), Journal of Algebra and Applications (10) (2011), 947-959

Publications with PSL

Algebraic 3D Graphic Statics: Constrained Areas (with Masoud Akbarzadeh), submitted, (2020)

Geometric Degrees of Freedom and Non-Conventional Spatial Structural Forms (with Masoud Akbarzadeh), to appear in Impact: Design With All Senses, Springer Nature (2019)

Algebraic 3D Graphic Statics: reciprocal constructions (with Masoud Akbarzadeh, Yi Guo), Computer-Aided Design, Volume 108, (2019), 30-41

Developing Algebraic Constraints for Reciprocal Polyhedral Diagrams of 3D Graphic Statics (with Masoud Akbarzadeh, Yi Guo), Proceedings of the IASS Symposium 2018, Creativity in Structural Design, MIT, Boston, USA, July 16-20, (2018).