Address: 200 Linde Hall, 1200 East California Blvd,
              Pasadena, CA 91125
Email: darenc@caltech.edu
I am a postdoctoral scholar in mathematics at Caltech. My postdoc mentors are Yi Ni and Sergei Gukov. I am interested in low-dimensional topology, in particular Khovanov homology and knot Floer homology of links in \(S^3\), sometimes in other 3-manifolds. Before that, I obtained my PhD at Stanford University. My PhD advisor is Ciprian Manolescu.
Curriculum Vitae
A note on rational band moves
(with J. Hom, M. H. Kim, J, Park and Z. Wu), La Matematica, Vol.3 (2024), 777-782 | arXiv:2311.11507
Bar-Natan Homology for null homologous links in \(\mathbb{RP}^3\)
preprint | arXiv:2307.11461
Adiabatic compactness for holomorphic curves with boundary on nearby Lagrangians
(with D. Cant) accepted to Kyoto J. Math | arXiv:2302.13391
Floer lasagna modules from link Floer homology
preprint | arXiv:2203.07650
Twistings and the Alexander polynomial
preprint | arXiv:2202.12489
Generalised homomorphisms, measuring coalgebras and extended symmetries
(with M. Batchelor, W. Boulton, J.Rawlinson, M.Warsi) preprint | arXiv:2105.02527
Khovanov-type homologies of null homologous links in \(\mathbb{RP}^3\)
Quantum Topology, under revision | arXiv:2104.04779
Dec. 2024 | UC Irvine Geometry and Topology Seminar | |
L-space satellite operators and knot Floer homology | ||
Nov. 2024 | LA Joint Topology Seminar | |
L-space satellite operators and knot Floer homology | ||
Oct. 2024 | AMS Sectional Meeting, UC Riverside | |
Formality of Link Floer homology of 2-component L-space links | ||
May 2024 | Institute of Mathematics, Chinese Academy of Sciences | |
Some variations of Khovanov homology for null homologous links in \(\mathbb{RP}^3\) | ||
Mar. 2024 | Caltech-Tsinghua Joint Colloquium | |
Khovanov homology for null homologous links in \(\mathbb{RP}^3\) | ||
Feb. 2024 | Univeresity of South Florida Geometry/Topology Seminar | |
Bar-Natan homology for null-homologous links in \(\mathbb{RP}^3\) and genus bound | ||
Nov. 2023 | Ohio State University Topology Seminar | |
Bar-Natan homology for null-homologous links in \(\mathbb{RP}^3\) and genus bound | ||
Jun. 2023 | Virginia Topology Conference | |
Some variations of Khovanov homology for null homologous links in \(\mathbb{RP}^3\) and genus bound | ||
Apr. 2023 | Stanford University Topology Seminar | |
Bar-Natan homology for null-homologous links in \(\mathbb{RP}^3\) and genus bound | ||
Jan. 2023 | Caltech Geometry & Topology Seminar | |
Khovanov-type homologies of null homologous links in \(\mathbb{RP}^3\) | ||
Oct. 2022 | AMS sectional meeting, University of Utah | |
Introduction to Floer lasagna modules | ||
Sep. 2022 | Australian Geometric Topology Webinar | |
Khovanov-type homologies of null homologous links in \(\mathbb{RP}^3\) | ||
Aug. 2022 | University of Hamburg | |
Introduction to Floer lasagna modules | ||
Apr. 2022 | Knots in Washington 49.75 | |
Twistings and the Alexander polynomial | slides | ||
Mar. 2022 | GT GAPS | |
Lasagna algebra and Floer lasagna module | ||
Mar. 2022 | GSTGC 2022 GaTech | |
Khovanov-type homologies of null homologous links in \(\mathbb{RP}^3\) | slides | ||
Sep. 2021 | Stanford University Topology Seminar | |
Khovanov-type homologies of null homologous links in \(\mathbb{RP}^3\) |
Ma 151a | Algebraic and differential topology | |
Autumn 2023, Autumn 2024 | ||
Ma 151c | Algebraic and differential topology | |
Spring 2024 | ||
Ma 157a | Topics in Geometry and Topology | |
Autumn 2024 |
Math 20 | Calculus | |
Autumn 2018 | ||
Math 51 | Linear Algebra, Multivariable Calculus, and Modern Applications | |
Winter 2020, Winter 2021, Summer 2021, Winter 2022 | ||
Math 53 | Differential Equations with Linear Algebra, Fourier Methods, and Modern Applications | |
Spring 2023 | ||
Math 116 | Complex Analysis | |
Autumn 2022 | ||
Math 120 | Groups and Rings | |
Autumn 2019 | ||
Math 143 | Differential Geometry | |
Spring 2019 | ||
Math 148 | Algebraic Topology | |
Winter 2023 | ||
Math 215A | Algebraic Topology | |
Autumn 2020, Autumn 2021 |