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) Knot cobordisms, torsion, and Floer
homology (with Andras Juhasz and Maggie Miller)
2) Knot Floer homology and
strongly-homotopy ribbon concordances (with Maggie Miller) Accepted, Mathematical Research Letters
3) Khovanov homology and ribbon
concordances (with Adam Simon Levine) Accepted, Bulletin of the London
Mathematical Society
4) Knot Floer homology obstructs
ribbon concordance Annals of Mathematics (2) 190 (2019), no. 3, 931-947.
5) Stabilization distance bounds from link
Floer homology (with Andras Juhasz)
6) Distinguishing slice disks using
knot Floer homology (with Andras Juhasz) Accepted, Selecta Mathematica
7) Concordance surgery and the
Ozsvath-Szabo 4-manifold invariant (with Andras Juhasz)
8) Contact handles, duality, and
sutured Floer homology (with Andras Juhasz) To Appear, Geometry & Topology
9) Duality and mapping tori in
Heegaard Floer homology
10) Connected sums and involutive knot
Floer homology. Proc. London Math.
Soc. (2019) 119: 214-265. doi:10.1112/plms.12227.
11) Link cobordisms and absolute
gradings on link Floer homology. Quantum
Topology. 10 (2019), 207-323. doi:10.4171/QT/124
12) Link cobordisms and functoriality in
link Floer homology. Journal
of Topology. (2019) 12: 94-220. doi:10.1112/topo.12085.
13) Naturality and mapping class
groups in Heegaard Floer homology (with Andras Juhasz and Dylan Thurston).
To appear, Memoirs of the AMS.
14) A connected sum formula for
involutive Heegaard Floer homology (with Kristen Hendricks and Ciprian
Manolescu). Selecta Mathematica, (2018) 24; 1183
15) Quasistabilization and basepoint
moving maps in link Floer homology. Algebraic & Geometric Topology,
Volume 17, Number 6 (2017) 3461-3518
16) Graph cobordisms and Heegaard
Floer homology
17) A graph TQFT for hat Heegaard
Floer homology
Slides:
1. Ribbon
concordances and knot Floer homology
Code:
1) 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
2) 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