# Tudor Pădurariu

Address:

Room 15-25 523, Campus Pierre et Marie Curie, 4 Pl. Jussieu, 75005, Paris, France

Email:

tudor.padurariu (at) imj-prg (dot) fr

About:

I am Chargé de recherche at CNRS, Laboratory IMJ-PRG, Sorbonne Université. Between September 2020 and December 2023, I was a postdoc at IAS, Columbia University, and MPIM (Bonn). I received my Ph.D. at MIT in May 2020 and my B.Sc. and M.A. from UCLA in June 2015.

I am interested in algebraic geometry, in particular in enumerative geometry (especially Donaldson-Thomas theory), in derived categories of coherent sheaves, and in Hall algebras.

### Publications and preprints:

Topological K-theory of quasi-BPS categories for Higgs bundles, joint with Y. Toda, arXiv:2409.10800

Quasi-BPS categories for Higgs bundles, joint with Y. Toda, arXiv:2408.02168, submitted.

Quasi-BPS categories for K3 surfaces, joint with Y. Toda, arXiv:2309.08437, submitted.

Topological K-theory of quasi-BPS categories of symmetric quivers with potential, joint with Y. Toda, arXiv:2309.08432, submitted.

Quasi-BPS categories for symmetric quivers with potential, joint with Y. Toda, arXiv:2309.08425, submitted.

The categorical DT/PT correspondence and quasi-BPS categories for local surfaces, joint with Y. Toda, arXiv:2211.12182, submitted.

The local categorical DT/PT correspondence, joint with Y. Toda, arXiv:2211.12178, Adv. Math., Volume 442, 2024.

Categorical and K-theoretic Donaldson-Thomas theory of C3 (part II), joint with Y. Toda, arXiv:2209.05920, Forum Math. Sigma, Volume 11, 2023, e108.

Categorical and K-theoretic Donaldson-Thomas theory of C3 (part I), joint with Y. Toda, arXiv:2207.01899, Duke Math. J., 173 (10), 1973-2038.

Relative stable pairs and a non-Calabi-Yau wall crossing, arXiv:2110.14561, Int. Math. Res. Not., DOI.

Generators for K-theoretic Hall algebras of quivers with potential, arXiv:2108.07919, Sel. Math. (N.S.), Volume 30, Article 4, 2024.

Categorical and K-theoretic Hall algebras for quivers with potential, arXiv:2107.13642, J. Inst. Math. Jussieu, DOI

Generators for categorical Hall algebras of surfaces, arXiv:2106.05176, Math. Z. 303, 40 (2023).

K-theoretic Hall algebras of quivers with potential as Hopf algebras, arXiv:2106.05169, Int. Math. Res. Not., DOI.

Intersection K-theory, arXiv:2103.06223, submitted.

Noncommutative resolutions and intersection cohomology for quotient singularities, arXiv:2103.06215, submitted.

Deformed dimensional reduction, joint with B. Davison, arXiv:2001.03275, Geom. Topol. 26-2 (2022), 721-776.

K-theoretic Hall algebras for quivers with potential, arXiv:1911.05526. This preprint is my PhD thesis. The articles "Generators for K-theoretic Hall algebras of quivers with potential" and "Categorical and K-theoretic Hall algebras for quivers with potential" are revised versions of material discussed in it.

Groups of order p3 are mixed Tate, arXiv:1503.04235, Rend. Sem. Mat. Univ. Padova, 152 (2024), pp. 59–81.

### Past teaching:

Modern Algebra II at Columbia in Spring 2023.

Calculus III at Columbia in Fall 2022.

Calculus II at Columbia in Spring 2022.

Calculus III at Columbia in Fall 2021.

Review of single and multivariable calculus (18.089) at MIT in Summer 2018 (with Kevin Sackel) and Summer 2019.

### Past organization:

A workshop DT theory and derived categories between September 12-13, 2024, at Jussieu.

A workshop Categorical Methods in Moduli Theory between April 7-9, 2023, at University of Pennsylvania.

An informal preprint seminar in algebraic geometry at Columbia in Spring 2023.