Talks and Presentations
Videos
A tale of two tangles in the Tangled in Knot Theory workshop at ICERM .
Tangle decompositions and immersed curves in the Low Dimensional Topology & Circle-valued Morse Functions workshop at IMSA.
Cosmetic surgery, cosmetic crossings in the Cirget CRM Séminaire in April 2022.
Essential Conway spheres and Floer homology via Immersed Curves at the 38th Annual Geometric Topology Workshop at TCU in 2021.
Triple linking and Heegaard Floer homology in the Classical Knots + Virtual Knots + Algebraic Structures Related to Knots seminar at The Ohio State.
Site-specific recombination and band surgery along knots at the Banff International Research Station, in the workshop on the Topology of Nucleic Acids: Research at the Interface of Low-Dimensional Topology, Polymer Physics and Molecular Biology.
Past Talks
Unknotting numbers and invariants of trivalent spatial graphs. Applied Topology: DNA topology, Material Science, Topological Data Analysis. Canadian Mathematical Society Summer Meeting, Saskatoon, Canada, June 2024.
Applied Topology: DNA Topology. (Mini Course) Canadian Mathematical Society Summer Meeting, Saskatoon, Canada, May 2024.
Unknotting operations and invariants of trivalent spatial graphs. The Crossroads of Topology, Combinatorics and Biosciences: Deciphering the Entanglement of Multi-Stranded Nucleic Acids. BIRS, Banff, Canada, March 2024.
Unknotting and Invariants of Trivalent Spatial Graphs. AMS Special Session on Mathematical Modeling of Nucleic Acid Structures. Joint Mathematics Meetings, San Francisco, CA, January 2024
Entanglement and invariants of theta-curves. Seminar GEOTOP-A (Online), November 2023
Unknotting in Spatial Trivalent Graphs. AMS Special Session on Recent Advances in Low- dimensional and Quantum Topology, Mobile, AL, October 2023
Knotted graphs and graphs of knots: How combinatorics and knot theory inform each other. University of Richmond, Richmond, VA, October 2023
A tale of two tangles, Tangled in Knot Theory workshop, ICERM, Brown University, May 2023*. Video
Tangles and immersed curves, Low Dimensional Topology and Circle-Valued Morse Functions, IMSA, University of Miami, February 2023*. Video
Immersed curves in Floer homology and Conway spheres, Topology and Geometry Seminar, MIT, Boston, MA, November 2022*
Invariants and unknotting in theta curves, 8th Annual Applied Geometry and Topology Workshops in Mexico (Online), November 2022*
Invariants and unknotting in theta curves, AMS Special Session on Topology and Geometry of Multi-Stranded Nucleic Acids, Salt Lake City, UT, October 2022*
Unknotting in spatial theta curves, Flash Talk, 4-varietes: a travers les dimensions, CIRM, Marseille, France, September 2022*
Cosmetic surgery, cosmetic crossings, Geometry and Topology Seminar, Le Centre de recherche en géométrie et topologie (CIRGET), Université du Québec à Montréal (Online), April 2022*. Video
Cosmetic surgery, cosmetic crossings and Conway spheres, Knots in Washington 49.5, George Washington University, December 2021*
Cosmetic surgery, cosmetic crossings and Conway spheres, Special Session on Group Theory and Low-Dimensional Topology, Canadian Mathematical Society Winter Meeting (Online), December 2021*
Conway spheres and immersed curves, Geometry Seminar, University of Virginia, November 2021*
Tangle decompositions and immersed curves, Boston Graduate Topology Seminar, MIT, November 2021*
Essential Conway spheres and Floer homology via immersed curves, Topology Seminar, Boston College, November 2021*
Conway spheres and immersed curves , Topology Seminar (Online), Oklahoma State University, November 2021*
Essential Conway spheres and Floer homology via immersed curves, Workshop in Geometry Topology (Online), Texas Christian University, June 2021
Lightning Talk (Online): Knot Graphs and Gromov Hyperbolicity, 4D Topology ARC, American Institute of Mathematics, March 31, 2021
Essential Conway spheres and Floer homology via immersed curves, Joint Meetings of the AMS/MAA (Online), Special Session, January 2021
Essential Conway spheres and Floer homology via immersed curves, University of Texas Topology Seminar (Online), November 16, 2020
Essential Conway spheres and Floer homology via immersed curves, AMS Special Session on Applied Knot Theory (Online) October 10, 2020
Triple linking and Heegaard Floer homology, Stanford Topology Seminar (Online), Sep 22, 2020
Triple linking and Heegaard Floer homology, Brandeis Topology Seminar (Online) Sep 8, 2020
Triple linking and Heegaard Floer homology, Georgia Tech Topology Seminar (Online) August 31, 2020
Triple linking and Heegaard Floer homology, The Ohio State University, Seminar on Classical Knots + Virtual Knots (Online) August, 2020. Video
Triple linking and Heegaard Floer homology, University of British Columbia/PIMS CRG Seminar (Online) May, 2020
Intro to Khovanov Homology (Parts 1, 2, 3), VCU Topology and Geometry (Online) April, 2020
Surgery, higher-order linking and Heegaard Floer homology, Mini Symposium: Knot Theory on Okinawa, Okinawa Institute of Science and Technology, Okinawa, Japan, February 2020
Knot graphs and Gromov hyperbolicity, AMS Special Session on Applications and Computations in Knot Theory, Joint Meetings, Denver, CO, 2020
Heegaard Floer invariants, integral surgery and higher order linking, Topology Seminar, Boston College, October 2019
Gordian graphs of knots, ALPS Seminar, VCU, September 2019
Heegaard Floer invariants, surgery and Milnor Numbers, AMS Special Section on Floer homology in Dimensions 3 and 4, University of Wisconsin-Madison, Madison, WI, September 2019
Heegaard Floer d-invariants and integral surgery, Topology Seminar, Indiana University, June 2019
Heegaard Floer d-invariants and integral surgery, Topology Seminar, University of Oregon, Eugene, OR, May 2019
Heegaard Floer d-invariants and integral surgery, Geometry Seminar, University of Virginia, Charlottesville, VA, April 2019
Site-specific recombination and the band surgery along knots, The Topology of Nucleic Acids: Research at the Interface of Low-Dimensional Topology, Polymer Physics and Molecular Biology Banff International Research Center, Banff, Canada, March 2019. Video
Surgery on links and the Heegaard Floer d-invariant, Winter Meeting of the Canadian Mathematical Society, Session on Topology, Vancouver BC, December 2018. PDF
Knots, bands and reconnection in circular DNA, Colloquium, Virginia Commonwealth University, Richmond, VA, December 2018
Heegaard Floer d-invariants and integral surgery, Geometry and Topology Seminar, UC Davis, November 2018
Knots, bands and reconnection in circular DNA, Colloquium, Western Washington University, Bellingham, WA, November 2018
Site-specific recombination and the band surgery model, AMS Special Session on Mathematical Methods for the study of the Three Dimensional Structure of Biopolymers, SFSU, San Francisco, CA, November 2018
Band surgery along knots and site-specific recombination on circular DNA, Colloquium, University of Nevada, Reno, October 2018
Distance one lens space fillings and band surgery, Topology in Dimensions 3, 3.5 and 4, UC Berkeley, Berkeley, CA, June 2018
Distance one lens space fillings and band surgery, LA Joint Topology Seminar, UCLA, Los Angeles, CA, April 2018
Knots, bands and reconnection in circular DNA, Eastern Illinois Integrated Conference in Geometry, Dynamics, and Topology, Charleston, IL, April 2018
Band surgery along the trefoil knot with applications to site-specific recombination on circular DNA, Colloquium, Texas State University, San Marcos, TX, January 2018
Site-specific recombination on circular DNA and band surgery along the trefoil knot, Colloquium, Towson University, Towson, MD, December 2017
Arsuaga-Vazquez Workshop Sessions, Summer School on Modern Knot Theory: Aspects in Algebra, Analysis, Biology, and Physics. University of Freiburg, Freiburg, Germany, June 2017. slides 1, slides 2, website
(1) Cosmetic crossing changes and (2) Symmetric unions without crossing changes Topology Seminar / Student Topology Seminar, University of California, Berkeley, CA, April 2017
(1) Cosmetic crossing changes and (2) Symmetric unions without crossing changesGeometry and Topology Seminar / Student GT Seminar, University of California, Davis, CA, September 2016
Nugatory crossings and cosmetic surgery in L-spaces, Colloquium, University of Alabama, Tuscaloosa, AL, February 2016
The cosmetic crossing conjecture and nugatory crossings, Joint Meetings of the AMS/MAA, Seattle, WA, January 2016
Cosmetic surgery in L-spaces and nugatory crossings, Tech Topology Conference, Georgia Tech, Atlanta GA, Dec 2015
Cosmetic surgery in L-spaces and nugatory crossings, Special Session on Invariants of Knots, Links and 3-Manifolds, AMS Sectional Meeting, Rutgers, NJ, November 2015
Cosmetic surgery in L-spaces and nugatory crossings, Geometry and Topology Seminar, MSU, East Lansing, MI, November 2015
Cosmetic surgery in L-spaces and nugatory crossings, Topology Seminar, University of Texas, Austin, TX, September 2015
Cosmetic surgery in L-spaces and nugatory crossings, Workshop in Geometric Topology, TCU, Fort Worth, TX June 2015. PDF
Cosmetic crossing changes in thin knots, Moab Topology Conference, Moab, UT, May 2015
Cosmetic crossing changes in thin knots, Symplectic Geometry, Gauge Theory, and Categorification Seminar, Columbia University, NY, May 2015
Cosmetic crossing changes in thin knots, AWM Research Symposium, University of Maryland, Baltimore, MD, April 2015
Cosmetic crossing changes in knots, Special Session on Knot Theory and Floer-Type Invariants, AMS Sectional Meeting, East Lansing, MI, March 2015
Montesinos knots, Hopf plumbings, and L-space surgeries, Special Session on Knot Theory, Joint Meetings of the AMS/MAA, San Antonio, TX, January 2015. PDF
Montesinos knots and L-space surgeries, Colloquium, Sam Houston State University, Huntsville, TX, October 2014
Montesinos knots, Hopf plumbings and L-space surgeries, Special Session on Interactions between Knots and Manifolds, AMS Sectional Meeting, San Francisco, CA, October 2014. PDF
Montesinos knots and contact structures, Special Session on Invariants in Low-Dimensional Topology, AMS Sectional Meeting, Baltimore, MD, March 2014. PDF
Pretzel knots admitting L-space surgeries and questions about mutation, Geometry and Topology Seminar, Caltech, Pasadena, CA, November 2013
Pretzel knots admitting L-space surgeries, Geometry and Physics Seminar, University of Miami, Miami, FL, November 2013
Pretzel knots admitting L-space surgeries, Special Session on Geometric Topology of Knots and 3-Manifolds, AMS Sectional Meeting, Philadelpha, PA, October 2013. PDF
Pretzel knots admitting L-space surgeries, Topology Seminar, Rice University, Houston, TX, September 2013
Mutation and total dimension in knot Floer homology, Colloquium, Rice University, Houston, TX, September 2013
Pretzels knots admitting L-space surgeries., Rolfsenfest, CIRM, Luminy, France, July 2013
Mutation and knot Floer homology, Colloquium, University of Nevado at Reno, May 2013
Thesis defense, Topology Seminar, University of Texas, April 2013
The total rank conjecture in knot Floer homology, Joint Meetings, San Diego, CA, 2013. PDF
Knot homology invariants and genus 2 mutation, Topology Students Workshop, Georgia Tech, GA, June 2012. PDF
Genus 2 mutation of knots, Joint Meetings, Boston, MA, January 2012
The link surgeries spectral sequence, Heegaard Floer Seminar, University of Texas, Austin TX, March 2012
Mutation of knots in manifolds, GSTGC, Michigan State University, Lansing, MI, April 2011
The Jones polynomial of knots, Trinity University, San Antonio, TX, March 2011
* indicates presentations reporting on work supported by The Thomas F. and Kate Miller Jeffress Memorial Trust, Bank of America, Trustee