Research

Publications and preprints

11. The contact cut graph and a Weinstein L-invariant, with N. Castro, G. Islambouli, J. Min, L. Starkston, A. Wu, submitted. (arXiv)

10. Splitting Algebraic Singular Fibrations via Perturbation of Branch Covers, with J. Van Horn-Morris, submitted. (arXiv)

9. Singular Fibers in Algebraic Fibrations of Genus 2 and Their Monodromy Factorizations, with J. Van Horn-Morris, submitted. (arXiv)

8. Slicing knots in definite 4-manifolds, with A. Kjuchukova, A. N. Miller, A. Ray, Transactions of the American Mathematical Society, Volume 377, Number 8, August 2024, Pages 5905–5946. (arXiv) (journal)

7. Complex Ball Quotients and New Symplectic 4-Manifolds with Nonnegative Signatures, with A. Akhmedov and S. K. Yeung, Taiwanese J. Math. 28 (2024), no. 1, 29–53. (arXiv) (journal)

6. Exotic Smooth Structures on Connected Sums of S2 × S2, with A. Akhmedov and D. Park, Quarterly Journal of Mathematics, Volume 74, Issue 2, June 2023, Pages 799–809. (article) (journal), 2019.

5. Generalized Chain Surgeries and Applications, with A. Akhmedov and Ç. Karakurt, Journal of Symplectic Geometry, Vol. 19, No. 5 (2021), pp. 1047-1069. (arXiv) (journal)

4. Symplectic 4-Manifolds on the Noether Line and Between the Noether and Half Noether Lines, Geometriae Dedicata, 215, 369–399 (2021) https://doi.org/10.1007/s10711-021-00655-6. (arXiv) (journal)

3. On the BV Structure on the Cohomology of Moduli Space, with A. A. Voronov, Pure and Applied Mathematics Quarterly, Vol. 16, No. 3 (2020), pp. 755-773. (arXiv) (journal)

2. Deformation of the Singular Fibers of Genus Two Fibrations and Small Exotic Symplectic 4-Manifolds, with A. Akhmedov, International Journal of Mathematics, Vol. 30, No. 3 (2019) 1950017 (37 pages). (arXiv) (journal)

1. On the geography of nonspin symplectic 4-manifolds with nonnegative signature, with A. Akhmedov, Topology and Its Applications, 206 (2016), 24-45. (arXiv) (journal)

•  For the papers 1 & 2, see also my Ph.D. thesis, 2018.

• Symplectic Geography Problems in Dimensions Four and Six - My oral exam report (M.S. thesis), University of Minnesota, 2016.

•  On Milnor’s Exotic Seven Spheres (& Characteristic Classes) - My M.S. thesis, advised by B. Ozbagci, Koc University, 2012.

Service / Activities

• Co-organizer of AMS Special Session on Women and Gender Minorities in Symplectic and Contact Geometry and Low Dimensional Topology, JMM, Washington, D.C., Jan. 4-7, 2026. 

• Referee for peer reviewed journals.

• Co-organizer of the University of Arkansas Topology Seminars, Spring 2022 & Spring 2024.

• Co-organizer of the Redbud Conference, Oct. 14, 2023.

• Booth leader for two booths at the “Arkansas Math Discovery Day” public outreach event, Fayetteville Public Library, Arkansas, Apr. 13, 2024.

• Panelist at the Women in Mathematics Panel in celebration of the 50th anniversary of the AWM, University of Arkansas, December 8, 2021.

• Problem Session Mentor at MSRI Graduate Student Summer School - Gauge Theory in Geometry and Topology, July 05 - July 16, 2021. 

• Lead organizer of the workshop: Low-dimensional Topology and Symplectic Geometry Weekend, May 7-9, 2021.

• Co-organizer of the weekly seminars in symplectic topology at AIM 4D Topology Research Community, Spring 2021.

• Co-organizer of University of Minnesota Student Symplectic Geometry Seminar, Fall 2017.

Talks 

Invited Conference Talks

22. SEC Geometry-Topology 2025, University of Alabama, Tuscaloosa, AL, May 9-11, 2025. 

21. AMS-AWM Special Session for Women and Gender Minorities in Symplectic and Contact Geometry and Topology, JMM, San Francisco, CA, Jan. 3-6, 2024.

20. AWM Research Symposium, Clark Atlanta University, Sept. 30-Oct. 2, 2023.

19. Geometry and Topology in NY (GTiNY) Conference 2023, Columbia University, June 2-4, 2023.

18. Interactions between Symplectic and Holomorphic Convexity in 4 Dimensions, BIRS, Banff, Alberta, Canada, Apr. 9 - 14, 2023.

17. Contact and Symplectic Topology in dimensions 3 and 4, AMS 2023 Spring Southeastern Sectional Meeting, GaTech, Atlanta, GA, Mar. 18-19, 2023.

16. Unknotting operations, MSRI (SLMSI) Special Session on Summer Research in Mathematics, JMM, Boston, MA, Jan. 4-7, 2023.

15. Interactions between 3-manifolds and 4-manifolds, AMS Fall Southeastern Sectional Meeting, University of Tennesse at Chattanooga, TN, Oct. 15-16, 2022.

14. Redbud Topology Conferences, April and October 2022.

13. Low dimensional symplectic and contact topology, their invariants and interactions, AMS Fall Southeastern Sectional Meeting, Nov. 20-21, 2021.

12. Tech Topology Summer School: 4-Manifolds, July 26-30, 2021, https://ttss.math.gatech.edu 

11. AIM Current Events at AIM 4D Topology Research Community, May 5, 2021.

10. UCGEN, Jan. 6, 2021. https://researchseminars.org/seminar/UCGEN

9. Nearly Carbon Neutral Geometric Topology Conference, June 1-14, 2020 (online). Conference website: http://ncngt.org/blog/, the link to my talk: https://www.youtube. com/watch?v=yphKX29ofoc

8. Women in Symplectic and Contact Geometry and Topology Workshop, ICERM, Brown University, RI, July 22 - 26, 2019.

7. Twenty-fifth Gokova Geometry/Topology Conference, Mugla, Turkey, May 28 - June 2, 2018.

6. Mini-Workshop on Symmetries of Symplectic 4-manifolds and Pseudo-holomorphic curves, at the University of Minnesota, May 7-11, 2018.

5. AMS-AWM Special Session on Women in Symplectic and Contact Geometry and Topology, JMM, San Diego, CA, Jan. 10-13, 2018.

4. Low Dimensional Topology and Gauge Theory Workshop, Banff International Research Station (BIRS), Casa Matematica Oaxaca, Mexico, Aug. 6-11, 2017.

3. Fifteenth Annual Graduate Student Topology and Geometry Conference, Michigan State University, Michigan, April 8-9, 2017.

2. AMS Fall Central Sectional Meeting, University of St. Thomas, Minneapolis, MN, October 28-30, 2016.

1. AMS Spring Central Sectional Meeting, North Dakota State University, Fargo, North Dakota, April 16-17, 2016.

Short talks:

• Workshop on 4-manifolds, September 16 - 20, 2019, MPIM (short talk).

• Winter Braids IX, School on braids and low dimensional topology, Reims, France, March 4th - 7th 2019 (flash talk and poster).

Selected Seminar Talks

• Washington University in St. Louis (WUSTL), Geometry Topology Seminar, Mar 10, 2023. 

• Louisiana State University Geometry and Topology Seminar, Apr. 20, 2022.

• Georgia Institute of Technology (GaTech) Geometry Topology Seminar, Mar. 29, 2022. 

• University of Georgia (UGA) Topology Seminar, Mar. 28, 2022.

• Stanford University Topology Seminar, Feb. 1, 2022.

• University of Virginia Geometry Seminar, Apr. 20, 2021.

• Nantes-Angers Seminaire de Topologie, Geometrie et Algebre, Dec. 10, 2020.

• ODTU (METU), Colloquium, Turkey, Mar. 12, 2020.

• Max Planck Institute for Mathematics, Topology Seminar, Bonn, Mar. 10, 2020. 

• Universitat Bayreuth, Algebraic Geometry and Topology Seminar, Germany, Oct. 16, 2019 

• Bogazici University, Mathematics Colloquia and Research Seminars, Apr. 3, 2019.