Ian Zemke
Assistant Professor
Princeton Mathematics Department
Fine Hall, 304 Washington Rd,
Princeton, NJ, 08544
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Office: |
Fine Hall 1207 |
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E-Mail: |
izemke at math dot princeton dot
edu |
Teaching: Autumn 2022: Junior Seminar on Knot Theory. (See Canvas
webpage)
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 an NSF grants
DMS-1703685 and DMS-2204375.
Here
is my CV
Papers and Preprints:
1) Lattice homology, formality, and
plumbed L-space links (with M. Borodzik and B.
Liu)
2) An involutive
dual knot formula (with K. Hendricks, J. Hom, and
M. Stoffregen)
3) Naturality and functoriality
in involutive Heegaard Floer homology (with K. Hendricks, J. Hom, and M. Stoffregen)
4) The equivalence of lattice and Heegaard Floer homology
5) Bordered manifolds with torus
boundary and the link surgery formula
6) A note on PL-slice disks and rationally
slice knots (with K. Hendricks, J. Hom, and M. Stoffregen)
7) Heegaard Floer homology and plane curves with non-cuspidal
singularities (with M. Borodzik and B. Liu)
8) 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.
9) Surgery exact triangles and involutive Heegaard Floer homology (with K. Hendricks, J. Hom, and M. Stoffregen)
10) New Heegaard
Floer slice genus and clasp number bounds (with
A. Juhasz)
11) Transverse invariants and exotic
surfaces in the 4-ball (with A. Juhasz and M.
Miller) Geom. Topol. 25 (2021), no. 6,
2963-3012.
12) Knot cobordisms,
bridge index, and torsion in Floer homology (with
A. Juhasz and M. Miller) J. Topol.
13 (2020), no. 4, 1701-1724.
13) Knot Floer
homology and strongly-homotopy ribbon concordances
(with M. Miller) Math. Res. Lett. 28 (2021), no. 3, 849-861.
14) Khovanov
homology and ribbon concordances (with A.S. Levine) Bull. Lond. Math. Soc. 51 (2019), 6, 1099-1103.
15) Knot Floer
homology obstructs ribbon concordance Annals of Mathematics (2) 190
(2019), no. 3, 931-947.
16) Stabilization distance bounds from link
Floer homology (with A. Juhasz)
17) Distinguishing slice disks using
knot Floer homology (with A. Juhasz) Selecta Math. (N.S.) 26, 5 (2020)
18) Concordance surgery and the Ozsvath-Szabo 4-manifold invariant (with A. Juhasz) Accepted, Journal of the EMS
19) Contact handles, duality, and
sutured Floer homology (with A. Juhasz) Geometry
& Topology, 24 (2020) 179-307
20) Duality and mapping tori in Heegaard Floer homology.
Journal of Topology, 14 (3), 1027-1112. (2021)
21) Connected sums and involutive knot Floer homology.
Proc. London Math. Soc. (2019) 119:
214-265.
22) Link cobordisms
and absolute gradings on link Floer
homology. Quantum Topology. 10 (2019), 207-323.
23) Link cobordisms
and functoriality in link Floer
homology. Journal of Topology.
(2019) 12: 94-220.
24) 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.
25) A connected sum formula for involutive Heegaard Floer homology (with K. Hendricks and C. Manolescu). Selecta
Math. (N.S.), (2018) 24; 1183-1245
26) Quasistabilization
and basepoint moving maps in link Floer homology.
Algebraic & Geometric Topology, Volume 17, Number 6 (2017) 3461-3518
27) Graph cobordisms
and Heegaard Floer homology
28) 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