Vesna Stojanoska Email: my first name AT illinois.edu Office: #307 at 805 W Pennsylvania Ave

About me

I am an Associate Professor in UIUC's Department of Mathematics. Previously, I was

• Advanced Researcher at the MPIM in Bonn (Germany), 2014-2015,
• Viterbi Postdoctoral Scholar at MSRI during the Topology program in Spring 2014,
• C.L.E. Moore Instructor at MIT, 2011-2014,
• Graduate student at Northwestern University, working with Paul Goerss.

My research is in stable homotopy theory, and mostly revolves around topological modular forms, duality, or both. I also have an interest in the application of homotopy theory to studying obstructions for the existence of rational points on varieties.

Here is my CV, updated January 2020.

Graduate students

• Elizabeth Tatum, expected graduation date: May 2022
• Venkata Sai Bavisetty, expected graduation date: May 2023

Topology Seminar

I co-organize the Topology Seminar in my department.

Conferences

Winter/Spring 2021 Midwest Topology Seminar, April 8, 2021, virtually held over zoom.

Co-organized with Mark Behrens, Robert Bruner, Paul Goerss, Dan Isaksen.

Fall 2020 Midwest Topology Seminar, October 8, 2020, virtually held over zoom.

Co-organized with Mark Behrens, Robert Bruner, Paul Goerss, Dan Isaksen.

Winter 2019 Midwest Topology Seminar, February 23, 2019, at the University of Illinois at Urbana Champaign.

Co-organized with Dominic Culver, Jeremiah Heller, and Charles Rezk.

Mini-Workshop: Chromatic Phenomena and Duality in Homotopy Theory and Representation Theory, March 4-10, 2018, at the Mathematisches Forschungsinstitut Oberwolfach.

Co-organized with Tobias Barthel and Henning Krause.

Homotopy theory: tools and applications, July 17-21, 2017, at the University of Illinois.

Co-organized with Daniel Davis, Mark W. Johnson, and Charles Rezk.

Conference on invertible objects and duality in derived algebraic geometry and homotopy theory, April 3-7, 2017, at the University of Regensburg.

Co-organized with Paul Goerss, Akhil Mathew, Thomas Nikolaus, and Justin Noel.

Papers

Dualizing spheres for compact p-adic analytic groups and duality in chromatic homotopy.

with Agnès Beaudry, Paul Goerss, and Mike Hopkins

Constructing the determinant sphere using a Tate twist.

with Tobias Barthel, Agnès Beaudry, and Paul Goerss

Invertible K(2)-Local E-Modules in C₄-Spectra. Algebr. Geom. Topol. 20 (2020), no. 7, 3423-3503.

with Agnès Beaudry, Irina Bobkova, and Mike Hill

Gross-Hopkins Duals of Higher Real K-theory Spectra. Trans. Amer. Math. Soc., 372(5):3347-3368, 2019.

with Tobias Barthel and Agnès Beaudry

Anderson and Gorenstein duality. Geometric and topological aspects of the representation theory of finite groups, 105-130, Springer Proc. Math. Stat., 242, Springer, Cham, 2018.

with John Greenlees

Motivic homotopical Galois extensions. Topology Appl. 235 (2018), 290-338.

with Agnès Beaudry, Kathryn Hess, Magdalena Kedziorek, and Mona Merling

The Galois action and cohomology of a relative homology group of Fermat Curves. J. Algebra 505 (2018), 33-69.

with Rachel Davis, Rachel Pries, and Kirsten Wickelgren

Picard groups of higher real K-theory spectra at height p-1. Compos. Math. 153 (2017), no. 9, 1820-1854.

with Drew Heard and Akhil Mathew

On the ring of cooperations for 2-primary connective topological modular forms. J. Topol., 12(2):577-657, 2019.

with Mark Behrens, Kyle Ormsby, and Nat Stapleton

Galois action on the homology of Fermat curves. Directions in number theory, 57-86, Assoc. Women Math. Ser., 3, Springer, 2016.

with Rachel Davis, Rachel Pries, and Kirsten Wickelgren

The Picard group of topological modular forms via descent theory. Geom. Topol. 20 (2016), no. 6, 3133-3217.

with Akhil Mathew

Fibers of partial totalizations of a pointed cosimplicial space. Proc. Amer. Math. Soc. 144 (2016), no. 1, 445-458.

with Akhil Mathew

Classification of problematic subgroups of U(n). Trans. Amer. Math. Soc. 371 (2019), no. 10, 6739-6777.

with Julie Bergner, Ruth Joachimi, Kathryn Lesh, and Kirsten Wickelgren

K-theory, reality, and duality. J. K-Theory 14 (2014), no. 3, 526-555.

with Drew Heard

Fixed points of p-toral groups acting on partition complexes. Women in topology: collaborations in homotopy theory, 83-96, Contemp. Math., 641, Amer. Math. Soc., Providence, RI, 2015.

with J. Bergner, R. Joachimi, K. Lesh, and K. Wickelgren

Calculating descent for 2-primary topological modular forms. An alpine expedition through algebraic topology, 241-258, Contemp. Math., 617, Amer. Math. Soc., Providence, RI, 2014.

Duality for topological modular forms. Doc. Math. 17 (2012), 271-311. Last modified: 09/05/13.

Touching the Z/2 in three-dimensional rotations , Math. Mag. 81 (2008), no. 5, 345-357.

with Orlin Stoytchev

Presentations and more

Part I, Part II, Part III , Part IV of a lecture series at the Young Women in Topology Meeting 2012

Slides for a talk at the Special Session on Homotopy Theory at the 2012 AMS Joint Meetings

Some spectral sequences drawn using Tilman Bauer's sseq package.

Teaching

Fall 2021: Math 241. See the Syllabus.

Spring 2021: Math 416

Fall 2020: Math 416

Fall 2019: Math 416 and Math 526

Fall 2018: Math 595 Nilpotence and Periodicity in Stable Homotopy Theory

Spring 2018: Math 416

Fall 2017: Math 416 Honors and Math 526

Fall 2016: Math 402

Fall 2015: Math 402