Research

I am primarily interested in the topology and geometry of higher-dimensional contact and symplectic manifolds and their interactions with several theories such as symplectic field theory and mapping class group theory.

Publications & Preprints

Generalizations of planar contact manifolds to higher dimensions

Journal of Symplectic Geometry, Vol. 21, No. 4 (2023), pp. 683-721. [Journal] [arXiv] (Joint w/ J. B. Etnyre & B. Özbağcı)

Weinstein handlebodies for complements of smoothed toric divisors

To appear in the Memoirs of the American Mathematical Society [arXiv]

(Joint w/ O. Capovilla-Searle, A. Gadbled, A. Marinković, E. Murphy, L. Starkston, and A. Wu)

Planarity in higher-dimensional contact manifolds

Int. Math. Res. Not, Volume 2022, Issue 6, March 2022, Pages 4222–4258 [Journal], [arXiv] (Joint w/ A. Moreno)

An introduction to Weinstein handlebodies for complements of smoothed toric divisors

(Joint w/ O. Capovilla-Searle, A. Gadbled, A. Marinković, E. Murphy, L. Starkston, and A. Wu) [Journal] [arXiv] Proceedings of the Research Collaboration Conference for Women in Symplectic Geometry and Contact Topology, Springer, 2021. pp. 217-243

Contact open books and symplectic Lefschetz fibrations

Advances in Mathematical Sciences, Springer, 2020. pp. 273-285 [Journal]

Symplectic mapping class group relations generalizing the chain relation

International Journal of Mathematics, Vol. 27, No. 12, 1650096 (2016) [Journal], [arXiv] (Joint w/ R. Avdek)

The Weinstein conjecture for iterated planar contact structures

Submitted. [arXiv]

On foliations of higher-dimensional symplectic manifolds and symplectic mapping class group relations, PhD Thesis, 2017.

Edited Books

Research Directions in Symplectic Geometry and Contact Topology, 2022, Springer

Editorial Board: B. Acu, C. Cannizzo, D. McDuff, Z. Myer, Y. Pan, L. Traynor

Proceedings of the 2019 AWM Research Symposium, 2020, Springer

Editorial Board: B. Acu, D. Danielli, M. Lewicka, A. N. Pati, Saraswathy RV, M. I. Teboh-Ewungkem

Translation

E. Giroux's 2002 ICM paper in French: Géométrie de Contact: de la Dimension Trois vers les Dimensions Supérieures

Translation to English: Contact Geometry: From Dimension Three to Higher Dimensions

Awards & Honors in Research

Avery Fellowship, Claremont Graduate University
Project NExT Fellowship, Mathematical Association of America
Summer Collaborators Fellowship, IAS, Princeton
Leibniz Fellowship, Oberwolfach Research Institute for Mathematics
USC Edward and Dolores Blum Research Prize
USC Summer Research Fellowship
NSF-AWM Travel Grant

AWM Advance Grant for Women in Contact and Symplectic Geometry and Topology
USC Women in Science and Engineering Travel Grant
AMS Graduate Student Travel Grant
AWM Travel Grant

Invited Research Talks

1. RTG Colloquium, Heidelberg, Germany, Summer 2024 (upcoming)
2. Annual Math Symposium, TED University, Turkey, Summer 2024 (upcoming)
3. 35th National Mathematics Symposium, Turkish Mathematical Society, Fall 2024, Turkey (upcoming)
4. The 14th Annual Symposium for Women and Gender Minorities in Southern California, Pomona College, February 2024
5. Public Speaker Series, AWM Chapter, University of California, Santa Barbara, February 2024
6. Geometry & Topology Seminar, Department of Mathematics, Middle East Technical University, Fall 2023
7. HÜMDAT Akademisyen Seminerleri, Hacettepe Üniversitesi, Fall 2023
8. Claremont Topology Seminar, The Claremont Colleges, Spring 2023
9. Colloquium, Claremont Center for Mathematical Sciences, The Claremont Colleges, Fall 2022
10. Colloquium, Department of Mathematics, University of Tennessee, Knoxville
11. Symplectic topology, contact topology, and interactions, Institut Henri Poincaré, Paris, France*
12. Young Faculty Speaker, Graduate Student Topology and Geometry Conference, Indiana University Bloomington, IN
13. Colloquium, Vrije Universiteit Amsterdam, the Netherlands
14. Colloquium, Louisiana State University, LA
15. Junior Symplectic Geometry Seminar, ETH Zürich, Switzerland
16. Short Talks by Postdoctoral Members, IAS, Princeton, NJ
17. Geometry graduate colloquium, ETH Zürich, Switzerland
18. Symplectic Geometry Seminar, ETH Zürich, Switzerland
19. UCGEN Seminar
20. AMS-AWM Special Session on Women in Symplectic and Contact Geometry, 2020 Joint Mathematics Meetings, Denver, CO
21. Special Session on Knots and Links in Low-dimensional Topology, AMS Spring Southeastern Sectional Meeting, March 2020, University of Virginia, Charlottesville*
22. Special Session on Computational Aspects of Symplectic Topology, AMS Central Sectional Meeting, April 2020, Purdue University*
23. Geometry and Topology Seminar, April 2020, Michigan State University*
24. Young Faculty Speaker, Graduate Student Topology and Geometry Conference, April 2020, Indiana University Bloomington*
25. Special Session on Low-dimensional Topology, AMS Spring Central Sectional Meeting, April 2020, Purdue University*
26. Iowa Topology Seminar, Spring 2020, University of Iowa*
27. Geometry and Topology Seminar, May 4, 2020, University of California, Irvine*
28. Iberoamerican Congress on Geometry, June 2020, Morelia, México*
29. Symplectic Geometry Seminar, ETH Zürich, December 2019, Zürich, Switzerland
30. Nantes-Orsay Seminar on Symplectic and Contact Geometry, University of Nantes, December 2019, Nantes, France
31. Uppsala Geometry and Topology Seminar, Uppsala University, November 2019, Uppsala, Sweden
32. Lyon Geometry Seminar, Université de Lyon I, October 2019, Lyon, France
33. AWM Research Symposium, Special Session: New advances in symplectic and contact topology, April 6-7, 2019, Rice University, TX
34. Workshop on symplectic and contact mapping class groups, January 2019, Seoul National University, South Korea
35. Twenty-fifth Gökova Geometry Topology Conference, May 2018, Gökova, Turkey
36. Geometry Topology Seminar, April 2018, Massachusetts Institute of Technology, Boston, MA
37. Symplectic Geometry, Gauge Theory, and Categorification Seminar, April 2018, Columbia University, New York, NY
38. Geometry and Topology Seminar, April 2018, Georgia Institute of Technology, GA
39. Midwest Women in Mathematics Symposium, April 2018, Purdue University, Indiana, IN
40. Geometry & Physics Seminar, February 2018, Northwestern University, IL
41. Tech Topology Conference, Lightning Talks Session, December 2017, Georgia Institute of Technology, Atlanta, GA
42. Berkeley Topology Seminar, UC Berkeley, CA, November 2017
43. Berkeley Graduate Topology Seminar, UC Berkeley, CA,November 2017
44. Invited Paper Session on Low Dimensional Symplectic and Contact Topology, MAA MathFest, July 2017, Hilton Chicago
45. Kylerec 2017, Symplectic Fillings of Contact Manifolds Workshop, May 2017, Truckee, CA
46. Underrepresented Students in Topology/Algebra Research Symposium, Distinguished Graduate Speaker, April 2017, Amherst College
47. Symplectic Geometry Seminar, February 2017, Stanford University
48. The 10th Annual Symposium for Women in Mathematics (WiMSoCal), February 2017, University of Southern California
49. Claremont Topology Seminar, January 2017, Pomona College, CA
50. Geometry/Topology Seminar, January 2017, Duke University, Durham, NC
51. Special Session on Symplectic Geometry, Moment Maps and Morse Theory II, 2017 Joint Mathematics Meetings, January 2017, Atlanta, GA
52. Special Session on Women in Topology, 2017 Joint Mathematics Meetings, January 2017, Atlanta, GA
53. AWM Workshop, 2017 Joint Mathematics Meetings, January 2017, Atlanta, GA
54. Tech Topology Conference, Lightning Talks Session, December 2016, Georgia Institute of Technology, Atlanta, GA
55. AMS Fall Central Sectional Meeting, Special Session on Symplectic and Contact Geometry, October 2016, University of St. Thomas, MN
56. Differential Geometry and Symplectic Topology Seminar, October 2016, University of Minnesota, Minneapolis, MN
57. Geometry and Topology Seminar, October 2016, University of Southern California, Los Angeles, CA
58. Topology Students Workshop, June 2016, Georgia Institute of Technology, Atlanta, GA
59. The 9th Annual Symposium for Women in Mathematics in Southern California, November 2015, Pomona College, CA
60. Senior Math and Physics Colloquium, September 2015, California State University Channel Islands, Camarillo, CA
61. IMBM Geometry Topology Workshop, June 2015, Boğaziçi University, Istanbul, Turkey
62. Geometry Seminar, June 2015, Mimar Sinan Fine Arts University, Istanbul, Turkey
63. Geometry and Topology Seminar, June 2015, Middle East Technical University, Ankara, Turkey
64. Atılım Geometry Topology Workshop, May 2015, Atılım University, Ankara, Turkey
65. AMS Spring Western Sectional Meeting, Special Session on Contact Geometry, April 2015, University of Nevada, Las Vegas, NV
66. The 13th Annual Graduate Student Geometry Topology Conference, March 2015, University of Illinois Urbana Champaign, IL

*Canceled talks due to CoViD-19 pandemic.