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

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 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.