Irina Bobkova

Department of Mathematics Mailstop 3368 Texas A&M University College Station, TX, 77843 ibobkova@tamu.edu Office: Blocker 633D

About me

I am an associate professor at Texas A&M University. My research is in algebraic topology and is focused on computational aspects of equivariant and chromatic homotopy theory. My research is supported by the National Science Foundation CAREER Grant DMS-2239362 and RTG Grant DMS-2135884.

My Curriculum Vitae

South Central Topology Conference IV, March 8-9, 2025 at Texas A&M University in College Station, TX

Previous conference editions:

• South Central Topology Conference I, Texas A&M University, College Station, TX, September 25-26, 2021.
• South Central Topology Conference II, Texas State University, San Marcos, TX, February 11-12, 2023.
• South Central Topology Conference III, New Mexico State University, Las Cruces, NM, October 28-29, 2023.

Publications

The exotic K(2)-Local Picard group at the prime 2
Joint with A. Beaudry, P. G. Goerss, H-W. Henn, V-C. Pham and V. Stojanoska
Preprint.

Bounding the K(p−1)-local exotic Picard group at p>3
Joint with A. Lachmann, A. Li, A. Lima, V. Stojanoska and A. Y. Zhang
Accepted.

Cohomology of the Morava stabilizer group through the duality resolution at n=p=2
Joint with A. Beaudry, P. G. Goerss, H-W. Henn, V-C. Pham and V. Stojanoska
Transactions of the AMS, 377 (2024), no. 3, 1761--1805

The topological modular forms of $\mathbb{R}P^2$ and $\mathbb{R}P^2 \wedge \mathbb{C}P^2$
Joint with A. Beaudry, V-C. Pham and Z. Xu
Journal of Topology, Volume 15 (2022), Issue 4, 1864-1926 (doi)

The $P_2^1$ Margolis homology of connective topological modular forms
Joint with P. Bhattacharya and B. Thomas
Homology, Homotopy and Applications, Vol. 23 (2021), No 2, 379–402 (doi)

Invertible K(2)-Local E-Modules in $C_4$-Spectra
Joint with A. Beaudry, M. A. Hill and V. Stojanoska
Algebraic & Geometric Topology, 20 (2020), 3423–3503 (doi)

Spanier–Whitehead duality in the K(2)-local category at p=2
Proceedings of the AMS, 148 (2020), No. 12, 5421-5436 (doi)

Splittings and calculational techniques for higher THH
Joint with E. Höning, A. Lindenstrauss, K. Poirier, B. Richter and I. Zakharevich
Algebraic & Geometric Topology, 19 (2019), 3711-3753 (doi)

Topological resolutions in K(2)-local homotopy theory at the prime 2
Joint with P. G. Goerss
Journal of Topology, Volume 11 (2018), Issue 4, 917-956 (doi)

Inverting operations in operads
Joint with M. Basterra, K. Ponto, U. Tillmann and S. Yeakel
Topology and its Applications, 235 (2018), 130–145 (doi)

Infinite loop spaces from operads with homological stability
Joint with M. Basterra, K. Ponto, U. Tillmann and S. Yeakel
Advances in Mathematics, 321C (2017), 391-430 (doi)

On the higher topological Hochschild homology of $\mathbb{F}_p$ and commutative $\mathbb{F}_p$-group algebras
Joint with A. Lindenstrauss, K. Poirier, B. Richter and I. Zakharevich
Contemporary Mathematics, 641 (2015), 97-122 (doi)