Irina Bobkova


Department of Mathematics
Mailstop 3368
Texas A&M University
College Station, TX, 77843

ibobkova@tamu.edu
Office: Blocker 633D 		me

About me

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
To appear in Transactions of the AMS.

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)

South Central Topology Conference

In 2021 Hiro Lee Tanaka, Guangbo Xu and I initiated what we hope will become an annual regional conference for the topology community in Texas, Louisiana, Oklahoma, New Mexico and neighboring states. Two editions of the conference already took place and the third one is planned for Fall 2023. If you would like to attend SCTCIII, please register here. The deadline for requesting funding is Friday, September 15, 2023.