Assistant Professor
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: Summer 2023: Princeton RTG Summer School. Here are some
informal and preliminary notes.
About me: 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 NSF grants DMS-1703685
and DMS-2204375 and a Sloan Research Fellowship. In Fall of 2024, I will be moving to University of Oregon.
Papers and Preprints:
1) Gompf's cork and Heegaard Floer
homology (with I. Dai and A. Mallick)
2) A general Heegaard Floer surgery
formula
3) Connected sums and directed systems in
knot Floer homologies (with S. Ghosh)
4) Lattice homology, formality, and
plumbed L-space links (with M. Borodzik and B.
Liu) accepted Journal of the European
Math. Society
5) An involutive
dual knot formula (with K. Hendricks, J. Hom, and M. Stoffregen)
6) Naturality and functoriality
in involutive Heegaard Floer homology (with K. Hendricks, J. Hom, and M.
Stoffregen) accepted Quantum Topology
7) The equivalence of lattice and Heegaard
Floer homology
8) Bordered manifolds with torus
boundary and the link surgery formula
9) A note on PL-slice disks and rationally
slice knots (with K. Hendricks, J. Hom, and M. Stoffregen) Accepted for the
Proceedings of the Conference and Summer School on Frontiers in
Geometry and Topology.
10) Heegaard Floer homology and plane
curves with non-cuspidal singularities (with M. Borodzik
and B. Liu) Accepted Alg. Geom. Top.
11) On the quotient of the homology
cobordism group by Seifert spaces (with K. Hendricks, J. Hom, and M.
Stoffregen) Trans. Amer. Math. Soc. Ser. B 9 (2022), 757-781.
12) Surgery exact triangles and involutive Heegaard Floer homology (with K. Hendricks, J. Hom, and M.
Stoffregen)
13) New Heegaard Floer slice genus and
clasp number bounds (with A. Juhasz)
14) Transverse invariants and exotic
surfaces in the 4-ball (with A. Juhasz and M. Miller) Geom. Topol.
25 (2021), no. 6, 2963-3012.
15) Knot cobordisms,
bridge index, and torsion in Floer homology (with A. Juhasz and M. Miller) J.
Topol. 13 (2020), no. 4, 1701-1724.
16) Knot Floer
homology and strongly-homotopy ribbon concordances
(with M. Miller) Math. Res. Lett. 28 (2021), no. 3, 849-861.
17) Khovanov
homology and ribbon concordances (with A.S. Levine) Bull. Lond. Math.
Soc. 51 (2019), 6, 1099-1103.
18) Knot Floer homology obstructs
ribbon concordance Annals of Mathematics (2) 190 (2019), no. 3,
931-947.
19) Stabilization distance bounds from link
Floer homology (with A. Juhasz)
20) Distinguishing slice disks using
knot Floer homology (with A. Juhasz)
Selecta Math. (N.S.) 26, 5 (2020)
21) Concordance surgery and the Ozsvath-Szabo 4-manifold invariant (with A. Juhasz)
Accepted, Journal of the European Math. Society
22) Contact handles, duality, and
sutured Floer homology (with A. Juhasz) Geometry
& Topology, 24 (2020) 179-307
23) Duality and mapping tori in
Heegaard Floer homology. Journal of Topology, 14 (3), 1027-1112.
(2021)
24) Connected sums and involutive knot Floer homology.
Proc. London Math. Soc. (2019) 119:
214-265.
25) Link cobordisms
and absolute gradings on link Floer homology. Quantum Topology. 10 (2019), 207-323.
26) Link cobordisms
and functoriality in link Floer homology. Journal of Topology. (2019) 12: 94-220.
27) Naturality and mapping class
groups in Heegaard Floer homology (with A. Juhasz and D. Thurston). Mem.
Amer. Math. Soc. 273 (2021), no. 1338, v+174 pp.
28) A connected sum formula for involutive Heegaard Floer homology (with K. Hendricks and C. Manolescu). Selecta
Math. (N.S.), (2018) 24; 1183-1245
29) Quasistabilization
and basepoint moving maps in link Floer homology. Algebraic &
Geometric Topology, Volume 17, Number 6 (2017) 3461-3518
30) Graph cobordisms
and Heegaard Floer homology
31) A graph TQFT for hat Heegaard
Floer homology. Accepted, Quantum Topology.
Slides:
1. The
link surgery formula as a bordered theory
2. The involutive mapping
cone formula
3. Ribbon
concordances and knot Floer homology
Code:
1) Some code for computing genus
and clasp number bounds: CFK-infty.ipynb
2) Some code to accompany Stabilization distance bounds from link
Floer homology:
a. A Sage notebook to compute
tau, Vk and upsilon of certain pairs of deform spun
slice disks: slice.ipynb
3) Some Sage code to accompany Connected sums and involutive knot Floer homology,
which computes involutive invariants for knots involutive.ipynb