Papers

Title Co-authors Links
[] The Rouquier dimension of the category of perfect complexes over a regular ring arXiv:2506.24038
[10] Realization functors in algebraic triangulated categories Julia Sauter Ab. Math. Semin. Univ. Hambg. (2025)
arXiv:2412.07455
[9] Koszul homomorphisms and universal resolutions in local algebra Ben Briggs, James C. Cameron, Josh Pollitz Forum Math. Sigma, 13:e63, 2025
arXiv:2310.08400
[8] Generation time for biexact functors and Koszul objects in triangulated categories Marc Stephan Doc. Math., 30(2):379–415, 2025
arXiv:2403.00695
[] Tensor extriangulated categories Raphael Bennett-Tennenhaus, Isambard Goodbody, Amit Shah arXiv:2502.18257
[7] The Hochschild cohomology ring of monomial algebras Dalia Artenstein, Amrei Oswald, Andrea Solotar J. Algebra, 654:108–131, 2024
arXiv:2312.14699
[] Transfer of A-infinity structures to projective resolutions arxiv:2312.13696
[6] The spectrum of a well-generated tensor triangulated category Henning Krause Bull. Lond. Math. Soc., 55(2):680–705, 2023
arXiv:2203.03249
[5] Brown representability for triangulated categories with a linear action by a graded ring Arch. Math. (Basel), 120(2):135–146, 2023
arXiv:2206.09646
[4] Exceptional complete intersection maps of local rings Srikanth B. Iyengar, Jian Liu, Josh Pollitz Pacific J. Math., 318(2):275–293, 2022
arXiv:2107.07354
[3] Locally Complete Intersection Maps and the Proxy Small Property Ben Briggs, Srikanth B. Iyengar, Josh Pollitz Int. Math. Res. Not. IMRN, 2022(16):12625–12652, 2022
arXiv:2007.08562
[2] Appendices in Maximal Cohen–Macaulay Modules and Tate Cohomology by Ragnar-Olaf Buchweitz Luchezar Avramov, Ben Briggs, Srikanth B. Iyengar volume 262 of Math. Surveys Monogr., 2021
[1] Local to global principles for generation time over Noether algebras Homology Homotopy Appl., 23(2):165–182, 2021
arXiv:1906.06104

Software

Research Stays

Hausdorff Trimester Program on Spectral Methods in Algebra, Geometry, and Topology
Hausdorff Research Institute for Mathematics, Bonn, Germany—September 12, 2022–December 16, 2022

Research Talks

Picture
The Rouquier dimension of the perfect complexes over a regular ring
Derived Representation Theory and Triangulated Categories, Thessaloniki, Greece—June 23, 2025
Depth and generation time in triangulated categories
Generation time under biexact functors and for Koszul objects in triangulated categories
Koszul homomorphisms and universal resolutions in local algebra
Transferring resolutions along a Koszul homomorphism
  • Oberseminar Algebra, Osnabrück, Germany—April 18, 2023
  • Resolutions in Local Algebra and Singularity Theory, Mathematisches Forschungsinstitut Oberwolfach, Germany—February 9, 2023
Brown representability for triangulated categories with a linear action by a graded ring
Algebras and Representation Theory Network Meeting, Cologne, Germany—January 27, 2023 (Slides)
Homotopical characterization of exceptional complete intersection maps
The spectrum of a well-generated tensor triangulated category
Computations for thick subcategories in Macaulay2
Special Session on Differential Graded Methods in Commutative Algebra, AMS Spring Southeastern Sectional Meeting, virtually—March 13, 2021 (Slides, Demo)
Generation in Derived Categories and Applications to Commutative Algebra
New directions in group theory and triangulated categories, virtually—January 19, 2021 (Notes)
A homotopical characterization of locally complete intersection maps
  • Algebra Seminar, University of Leeds, UK—February 23, 2021
  • Algebra and Discrete Mathematics Seminar, Clemson University, South Carolina, USA—November 6, 2020
  • Special Session on Recent Developments in Commutative Algebra, AMS Spring Central Sectional Meeting, West Lafayette, Indiana, USA—April 5, 2020 (Cancelled due to COVID-19)
Smallness properties and locally complete intersections
  • AWM Workshop: Poster Presentations by Women Graduate Students and Reception, JMM, Denver, Colorado, USA—January 17, 2020 (Poster)
  • Poster, KUMUNU, Lincoln, Nebraska, USA—September 21, 2019 (Poster)
  • Special Session on Homological and Characteristic p > 0 Methods in Commutative Algebra, AMS Fall Central Sectional Meeting, Wisconsin, Madison, USA—September 15, 2019
  • Gongshow talk, Equivariant Topology & Derived Algebra: A Jolly Pleasant Conference for Greenlees, Trondheim, Norway—July 29, 2019 (Slides)
  • RRAGE: Ragnar's Ramifications in Algebra and Geometry Emerging Workshop, Toronto, Canada—July 8, 2019
Local to global principles for generation time over commutative rings
  • Algebra Seminar, Syracuse University, New York, USA—February 21, 2020
  • Algebra and Algebraic Geometry Seminar, University of Wisconsin–Madison, USA—January 31, 2020
  • AMS Special Session on Commutative Algebra, JMM, Denver, Colorado, USA—January 17, 2020 (Slides)
  • Oberseminar Algebra, Osnabrück, Germany—June 11, 2019
  • BIREP seminar, Bielefeld, Germany—May 24, 2019
  • KUMUNUjr, Lincoln, Nebraska, USA—March 30, 2019
  • Commutative Algebra Seminar, University of Nebraska, USA—March 27/28, 2019
  • Commutative Algebra Seminar, University of Utah, USA—March 8, 2019

Other Talks

Frobenius Categories and the Grothendieck Group K0
Summer School on Derived and Triangulated Categories, Wuppertal, Germany—September 13, 2021
Local Cohomology
European Talbot Workshop 2017: Dualities in Algebra, Geometry, and Topology, Geestland, Germany—June 12, 2017

Local Talks

Bielefeld University (2020–2023)

Internal Representation Theory Seminar

Toda brackets
May 31, 2023
A-infinity algebras
April 13, 2022
Schur algebras of finite type
July 2, 2021
MCM modules and Tate cohomology
February 3, 2021

Working group on tensor triangulated geometry

The spectrum of a well-generated tensor triangulated category
May 19, 2022
The frame of alpha-localizing ideals and its connection to the tt-spectrum via Stone duality
October 28, 2021
The Theorem of Hopkins and Neeman
November 18, 2020

University of Utah (2015–2020)

Hilbert's Syzygy Theorem
Graduate Student Colloquium, University of Utah, USA—August 28, 2018
Flag Varieties
Algebraic Geometry Graduate Student Seminar, University of Utah, USA—October 26, 2015

BIKES, Commutative Algebra Graduate Student Seminar

Introduction to group cohomology, Hochschild cohomology, and Hopf algebras
October 6, 2020
Dimension inequality and Hochster's θ-invariant
April 23, 2020
Support varieties and cohomology over CIs
February 13, 2020
Resolutions of modules and derived functors
September 6, 2019
BGG Correspondence
April 11, 2019
Derived Categories
September 13, 2018
Morita Theory
January 25, 2018
Yoneda Extensions
November 30, 2017
Cohen-Macaulay Rings
September 21, 2017
Grothendieck's Non-Vanishing Theorem
January 26, 2017
An Application of Vasconcelos' Lemma
April 24, 2016