# Irina Bobkova

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

I am an assistant professor at Texas A&M University. In 2017-2019 I was a member at the School of Mathematics at the Institute for Advanced Study. In Spring 2019 I was a Postdoctoral Fellow at the MSRI during the Derived Algebraic Geometry program, and in 2014-2017 I was a Visiting Assistant Professor at the University of Rochester. I received my PhD in 2014 at Northwestern University under the direction of Paul Goerss.

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 Grant DMS-2005627 and CAREER Grant DMS-2239362. I am also one of the senior personnel members on the RTG Grant DMS-2135884 which supports electronic Computational Homotopy Theory online research community.

My Curriculum Vitae

## 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.

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
Preprint.

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
On the higher topological Hochschild homology of $$\mathbb{F}_p$$ and commutative $$\mathbb{F}_p$$-group algebras