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 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

Publications

Simple η-torsion families in the stable stems
Joint with J.D. Quigley
Preprint.

The \(E^{hC_6}\)-homology of \(\mathbb{R}P_2\) and \(\mathbb{R}P_2\wedge \mathbb{C}P_2\)
Joint with J. Carlisle, E. Fitz, M. Ji, P. Kilway, H. Kim, K. O’Neal, J. Schuckman and S. Tilton
Preprint.

New infinite families in the stable homotopy groups of spheres
Joint with P. Bhattacharya and J.D. Quigley
Preprint.

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.

The duality resolution at n=p=2
Joint with A. Beaudry and H-W. Henn
To appear in Mathematische Zeitschrift.

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
To appear in Proceedings of WIT IV Workshop.

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)

South Central Topology Conference

I am one of the co-founders and co-organizers of the South Central Topology Conference, which is an annual regional conference for the topology community in Texas, Louisiana, Oklahoma, New Mexico and neighboring states. Its first edition took place at TAMU in Fall 2021.