PAST POSITIONS

I came to Uppsala in 2019 and was a postdoc for the first two years.

I was a postdoc in Bonn for 2016-2019, partly at the Max Planck Institute for Mathematics and partly at the Mathematisches Institut (University Bonn). 

From 2012 to 2016, I was a graduate student at the University of Virginia. My PhD advisors were Brian Parshall (official) and Leonard Scott.

PAPERS (all are on arXiv)

The atomic Leibniz rule (with Ben Elias, Nicolas Libedinsky, Leonardo Patimo), arXiv:2407.13128 (submitted)

On reduced expressions for core double cosets (with Ben Elias, Nicolas Libedinsky, Leonardo Patimo),  arXiv:2402.08673 (to appear in Mathematical Research Letters)

Singular Light Leaves  (with Ben Elias, Nicolas Libedinsky, Leonardo Patimo), arXiv:2401.03053 (to appear in Journal of European Mathematics Society) Talk slides

An atomic Coxeter presentation, Advances in Mathematics, Volume 470, 2025, https://doi.org/10.1016/j.aim.2025.110252. Talk slides (handout version) based on an FD seminar

Subexpressions and the Bruhat order for double cosets  (with Ben Elias, Nicolas Libedinsky, Leonardo Patimo), arXiv:2307.15726 (submitted)

Demazure operators for double cosets (with Ben Elias, Nicolas Libedinsky, Leonardo Patimo), arXiv:2307.15021 (submitted)

Graded extensions of Verma modules (with Volodymyr Mazorchuk), Mathematical Proceedings of the Cambridge Philosophical Society. (2024)

On first extensions in S-subcategories of O (with Volodymyr Mazorchuk), In: Dobrev, V. (eds) Lie Theory and Its Applications in Physics. LT 2021. Springer Proceedings in Mathematics & Statistics, vol 396. 

Join operation for the Bruhat order and Verma modules (with Volodymyr Mazorchuk and Rafael Mrđen), Isr. J. Math. (2024). https://doi.org/10.1007/s11856-024-2637-6. A talk video and slides, another talk slides, shorter slides

Alternating sing matrices and Verma modules, Proceedings of the AMS, Volume 151, Number 3, March 2023, Pages 949–959 https://doi.org/10.1090/proc/16151 (See also slides for "Join operation ...")

A singular Coxeter presentation (with Ben Elias), Proc. London Math. Soc. (2023) https://doi.org/10.1112/plms.12503. A talk video

Some homological properties of category O, VI (with Volodymyr Mazorchuk and Rafael Mrđen), Doc. Math. 26, 1237-1269 (2021) DOI: 10.25537/dm.2021v26.1237-1269

Bigrassmannian permutations and Verma modules (with Volodymyr Mazorchuk and Rafael Mrđen), Sel. Math. New Ser. 27, 55 (2021). https://doi.org/10.1007/s00029-021-00672-z  (See also slides for "Join operation ...")

Some homological properties of category O, V (with Volodymyr Mazorchuk and Rafael Mrđen), International Mathematics Research Notices (2021), DOI: 10.1093/imrn/rnab330. Talk slides

Adjunction in the absence of identity (with Volodymyr Mazorchuk and Xiaoting Zhang),  Appl Categor Struct (2021). https://doi.org/10.1007/s10485-021-09652-y

Polynomial functors and and two-parameter quantum symmetric pairs (with Valentin Buciumas), Transformation Groups (2022) https://doi.org/10.1007/s00031-022-09716-w. Talk slides

2-representations of small quotients of Soergel bimodules in infinite types (with Volodymyr Mazorchuk), Proceedings of the AMS https://doi.org/10.1090/proc/14584

Quantum polynomial functors from $e$-Hecke pairs (with Valentin Buciumas), Math. Z. (2018) https://doi.org/10.1007/s00209-018-2106-1

Graded zero part of forced graded algebra, Sci. China Math. (2018) 61: 269. https://doi.org/10.1007/s11425-017-9163-0

On modules arising from quantum groups at $p^r$-th roots of unity, J. Algebra 520C (2019). https://doi.org/10.1016/j.jalgebra.2018.10.041

Cohomology in singular blocks for a quantum group at a root of unity, Algebr Represent Theor (2018). https://doi.org/10.1007/s10468-018-9814-4

PhD STUDENTS

Eduardo Venturini, 2024-2029

TEACHING in UPPSALA

Algebraic structures, HT2020-2023

Linjär algebra II, VT2022

Modules and homological algebra, HT2022 

Lie groups, VT2023, VT2025

Grundläggande topologi, VT2023, VT2025

Elementary number theory, VT2022

PhD course in Algebra HT2024

LOCAL INFORMATION

The algebra group in Uppsala runs Algebra Seminar and has a YouTube channel.

The mathematics department regularly hires PhD students and postdocs/researchers.