Instructor
Princeton Mathematics Department
Fine Hall, 304 Washington Rd,
Princeton, NJ, 08544
Office: |
Fine Hall 1207 |
E-Mail: |
izemke at math dot princeton dot edu |
Teaching: Autumn 2019: Math 350, Introduction to Manifolds
About me: I am an instructor at Princeton University. I finished my
PhD at UCLA in 2017. My advisor was Ciprian Manolescu.
I study low dimensional topology using symplectic
geometry.
My research is partially supported by an NSF Postdoctoral
Research Fellowship (grant DMS-1703685).
Here
is my CV
Papers and Preprints:
1) Concordance invariants with
applications to the 4-dimensional clasp number (with Andras Juhasz)
2) Transverse invariants and exotic
surfaces in the 4-ball (with Andras Juhasz and
Maggie Miller)
3) Knot cobordisms,
bridge index, and torsion in Floer homology (with
Andras Juhasz and Maggie Miller)
4) Knot Floer
homology and strongly-homotopy ribbon concordances
(with Maggie Miller) Accepted, Mathematical
Research Letters
5) Khovanov
homology and ribbon concordances (with Adam Simon Levine) Accepted, Bulletin
of the London Mathematical Society
6) Knot Floer
homology obstructs ribbon concordance Annals of Mathematics (2) 190
(2019), no. 3, 931-947.
7) Stabilization distance bounds from link
Floer homology (with Andras Juhasz)
8) Distinguishing slice disks using
knot Floer homology (with Andras Juhasz) Accepted, Selecta
Mathematica
9) Concordance surgery and the Ozsvath-Szabo 4-manifold invariant (with Andras Juhasz) Accepted, Journal of the EMS
10) Contact handles, duality, and
sutured Floer homology (with Andras Juhasz) To Appear, Geometry
& Topology
11) Duality and mapping tori in
Heegaard Floer homology
12) Connected sums and involutive knot Floer homology.
Proc. London Math. Soc. (2019) 119:
214-265. doi:10.1112/plms.12227.
13) Link cobordisms
and absolute gradings on link Floer homology. Quantum Topology. 10 (2019), 207-323. doi:10.4171/QT/124
14) Link cobordisms
and functoriality in link Floer homology. Journal of Topology. (2019) 12: 94-220.
doi:10.1112/topo.12085.
15) Naturality and mapping class
groups in Heegaard Floer homology (with Andras Juhasz and Dylan Thurston). To appear, Memoirs of the
AMS.
16) A connected sum formula for involutive Heegaard Floer
homology (with Kristen Hendricks and Ciprian
Manolescu). Selecta Mathematica, (2018) 24; 1183
17) Quasistabilization
and basepoint moving maps in link Floer homology.
Algebraic & Geometric Topology, Volume 17, Number 6 (2017) 3461-3518
18) Graph cobordisms
and Heegaard Floer homology
19) A graph TQFT for hat Heegaard Floer homology. Accepted, Quantum Topology.
Slides:
1. Ribbon
concordances and knot Floer homology
Code:
1) Some code for computing clasp
number bounds: clasp.ipynb
2) Some code to accompany Stabilization distance bounds from link
Floer homology:
a. A SageMath
notebook to compute tau, Vk and upsilon of certain
pairs of deform spun slice disks: slice.ipynb
3) Some code to accompany Connected sums and involutive knot Floer homology.
i.
Macaulay2
code to compute involutive invariants of knots, and involutive tensor products: CFKI
ii.
Some
examples which can be used with the previous file: Examples