Assistant Professor
University of Oregon
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Office: |
315 Fenton Hall |
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E-Mail: |
izemke at uoregon.edu |
Teaching: Autumn 2024: Math 253
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.
Bibliography:
1) A note on the involutive
invariants of splices
K. Hendricks, M. Stoffregen and I. Zemke
2) Gompf's cork and Heegaard Floer
homology
I. Dai, A. Mallick and I. Zemke
To appear, International Mathematical Research Notices
3) A general Heegaard Floer surgery
formula
I. Zemke
4) Connected sums and directed systems in
knot Floer homologies
S. Ghosh and I. Zemke
5) Lattice homology, formality, and
plumbed L-space links
M. Borodzik, B. Liu, and I. Zemke
To appear, Journal of
the European Math. Society
6) An involutive
dual knot formula
K. Hendricks, J. Hom, M. Stoffregen and I. Zemke
7) Naturality and functoriality in involutive Heegaard Floer homology
K. Hendricks, J. Hom, M. Stoffregen and I. Zemke
To appear, Quantum Topology
8) The equivalence of lattice and Heegaard
Floer homology
I. Zemke
To appear, Duke Math. Journal
9) Bordered manifolds with torus
boundary and the link surgery formula
I. Zemke
10) A note on PL-slice disks and rationally
slice knots
K. Hendricks, J. Hom, M. Stoffregen and I. Zemke
To appear, Proceedings of the Conference and
Summer School on Frontiers in Geometry and Topology.
11) Heegaard Floer homology and plane
curves with non-cuspidal singularities
M. Borodzik, B. Liu, and I. Zemke
To appear Alg. Geom. Top.
12) On the quotient of the homology
cobordism group by Seifert spaces
K. Hendricks, J. Hom, M. Stoffregen and I. Zemke
Trans. Amer. Math. Soc. Ser. B 9 (2022), 757-781.
13) Surgery exact triangles and involutive Heegaard Floer homology
K. Hendricks, J. Hom, M. Stoffregen and I. Zemke
14) New Heegaard Floer slice genus and
clasp number bounds
A. Juhasz, and I. Zemke
15) Transverse invariants and exotic
surfaces in the 4-ball
A. Juhasz, M. Miller and I. Zemke
Geom. Topol. 25 (2021), no. 6, 2963-3012.
16) Knot cobordisms,
bridge index, and torsion in Floer homology
A. Juhasz, M. Miller, and I. Zemke
J. Topol. 13 (2020), no. 4, 1701-1724.
17) Knot Floer homology and strongly-homotopy ribbon concordances
M. Miller and I. Zemke
Math. Res. Lett. 28 (2021), no. 3, 849-861.
18) Khovanov
homology and ribbon concordances
A.S. Levine and I. Zemke
Bull. Lond. Math. Soc. 51 (2019), 6, 1099-1103.
19) Knot Floer homology obstructs
ribbon concordance
I. Zemke
Annals of Mathematics (2) 190 (2019), no. 3, 931-947.
20) Stabilization distance bounds from link
Floer homology
A. Juhasz, and I. Zemke
To appear, Journal of Topology.
21) Distinguishing slice disks using
knot Floer homology
A. Juhasz and I. Zemke
Selecta Math.
(N.S.) 26, 5 (2020)
22) Concordance surgery and the Ozsvath-Szabo 4-manifold invariant
A. Juhasz and I. Zemke
To appear, Journal of the European Math. Society
23) Contact handles, duality, and
sutured Floer homology
A. Juhasz and I. Zemke
Geometry &
Topology, 24 (2020) 179-307
24) Duality and mapping tori in
Heegaard Floer homology.
I. Zemke
Journal of Topology, 14 (3), 1027-1112. (2021)
25) Connected sums and involutive knot Floer homology.
I. Zemke
Proc. London
Math. Soc.
(2019) 119: 214-265.
26) Link cobordisms
and absolute gradings on link Floer homology.
I. Zemke
Quantum
Topology. 10 (2019), 207-323.
27) Link cobordisms
and functoriality in link Floer homology.
I. Zemke
Journal of
Topology.
(2019) 12: 94-220.
28) Naturality and mapping class
groups in Heegaard Floer homology
A. Juhasz, D. Thurston and I. Zemke.
Mem. Amer. Math. Soc. 273 (2021), no. 1338, v+174 pp.
29) A connected sum formula for involutive Heegaard Floer homology
K. Hendricks, C. Manolescu and I. Zemke.
Selecta Math. (N.S.), (2018) 24; 1183-1245
30) Quasistabilization
and basepoint moving maps in link Floer homology.
I. Zemke
Algebraic & Geometric Topology, Volume 17, Number 6 (2017)
3461-3518
31) Graph cobordisms
and Heegaard Floer homology
I. Zemke
To Appear, Geometry & Topology
32) A graph TQFT for hat Heegaard
Floer homology.
I. Zemke
To appear, Quantum Topology.
Notes:
Here
are some exercises
I wrote for a 2024 minicourse at IBS.
Here
are some informal notes
I wrote for the Princeton RTG 2023
Summer School.
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