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39th Summer Conference on Topology and Its Applications

Held at the University of South Alabama on 2025 August 11-14, this conference will feature special sessions in Set-Theoretic Topology, Topological Graph Theory, Topological Dynamics and Continuum Theory, Low-dimensional Topology, and Topology and Computing.

Schedule

All times (GMT-06:00) Central Time (US & Canada)

August 10

03:30 PM: Student & Early Career Welcome Workshop in HUMB 170
06:30 PM: Social Hour and Early Check-In in Voodoo Wing Company, 5713 Old Shell Rd

August 11

08:00 AM: Check-In in Humanities Building (HUMB)
08:30 AM: Welcome in HUMB 170
08:40 AM: Plenary Talk #1 in HUMB 170
Projections of spatial graphs — Erica Flapan
09:40 AM: Coffee Break
10:00 AM: Parallel Sessions #1
- Computing Session #1 in HUMB 142
  - 10:00 AM: Computing Session Talk #1.1
    A mechanized characterization of coherent $2$-groups — Perry Hart
  - 10:30 AM: Computing Session Talk #1.2
    Computing path homology chains by inductive construction — Matthew Burfitt
  - 11:00 AM: Computing Session Talk #1.3
    Sheaf Cohomology and the Algebraic Path Problem — Kaelyn Willingham
  - 11:30 AM: Computing Session Talk #1.4
    Sequential topological complexity of symmetric products of surfaces — Ekansh Jauhari
- Dynamics/CT Session #1 in HUMB 148
  - 10:00 AM: Dynamics/CT Session Talk #1.1
    Retract or Not: A Tale of Two Fans — Iztok Banic
  - 10:30 AM: Dynamics/CT Session Talk #1.2
    Lelek-like fans — Ivan Jelić
  - 11:00 AM: Dynamics/CT Session Talk #1.3
    Specification in Mahavier Systems via Closed Relations — Goran Erceg
  - 11:30 AM: Dynamics/CT Session Talk #1.4
    Turbulent closed relations — Judy Kennedy
- General/ST Session #1 in HUMB 150
  - 10:00 AM: General/ST Session Talk #1.1 (CANCELED)
  - 10:25 AM: General/ST Session Talk #1.2
    Combinatorial covering properties in countable and uncountable contexts — Michał Pawlikowski
  - 10:50 AM: General/ST Session Talk #1.3
    Combinatorial structures of concentrated sets — Piotr Szewczak
  - 11:15 AM: General/ST Session Talk #1.4
    Reflecting topological properties in closures of countable sets. — Vladimir Tkachuk
  - 11:40 AM: General/ST Session Talk #1.5
    Sequential and countable compactness associated to Ramsey-like properties — Cesar Corral
- Graphs Session #1 in HUMB 146
  - 10:00 AM: Graphs Session Talk #1.1
    Properties of the Penrose Polynomial — Dan Silver
  - 10:30 AM: Graphs Session Talk #1.2
    Unavoidable Induced Subgraphs of Large Graphs — Sarah Allred
  - 11:00 AM: Graphs Session Talk #1.3
    On Distance-Scaling Transformations and Isomorphisms of Euclidean Distance Graphs on the Rational Points — Matt Noble
  - 11:30 AM: Graphs Session Talk #1.4
    A Transversal of Planar Graph Faces — Joseph Briggs
- Low-Dimensional Session #1 in HUMB 144
  - 10:00 AM: Low-Dimensional Session Talk #1.1
    Ideal Triangulations and Once-Punctured Surface Bundles — Birch Bryant
  - 10:30 AM: Low-Dimensional Session Talk #1.2
    On the neighborhood of knots in the space of open curves — Eleni Panagiotou
  - 11:00 AM: Low-Dimensional Session Talk #1.3
    Triple point numbers of 2-twist spun knots — Scott Carter
  - 11:30 AM: Low-Dimensional Session Talk #1.4
    In search for homology of Bol-Moufang quasigroups — Jozef Przytycki
12:00 PM: Lunch in Humanities Building Hallway
01:00 PM: Semi-Plenary Talks #1
- Semi-Plenary Talk #1.1 in HUMB 170
  Khovanov skein lasagna modules and exotica — Mike Willis
- Semi-Plenary Talk #1.2 in HUMB 150
  Unknotting numbers of spatial graphs, knots and DNA — Danielle O'Donnol
02:00 PM: Coffee Break
02:30 PM: Formalized Topology Workshop in HUMB 170
05:30 PM: Welcome Reception in Faculty Club

August 12

08:15 AM: Check-In in Humanities Building (HUMB)
08:30 AM: Parallel Sessions #2
- Computing Session #2 in HUMB 142
  - 08:30 AM: Computing Session Talk #2.1
    Comparison of Precinct and District Voting Data Using Persistent Homology to Identify Gerrymandering in North Carolina — Ananya Shah
  - 09:00 AM: Computing Session Talk #2.2
    Unmapped Territory for Topological Data Analysis: Mathematics Education — Devin Hensley
  - 09:30 AM: Computing Session Talk #2.3
    Unveiling Topological Structures in Text & Speech — Adaku Uchendu
  - 10:00 AM: Computing Session Talk #2.4
    Efficient evader detection in mobile sensor networks — William Ott
- General/ST Session #2 in HUMB 150
  - 08:30 AM: General/ST Session Talk #2.1
    An iterable forcing property and universally meager sets — Valentin Haberl
  - 08:55 AM: General/ST Session Talk #2.2
    Frechet spaces and M-separable (selectively separable) spaces — Alan Dow
  - 09:20 AM: General/ST Session Talk #2.3
    Metrization theorem in forcing extensions — Akira Iwasa
  - 09:45 AM: General/ST Session Talk #2.4
    Topological spaces after forcing — Pedro Marun
  - 10:10 AM: General/ST Session Talk #2.5
    The Shape of Generating Families — Paul Gartside
- Low-Dimensional Session #2 in HUMB 144
  - 08:30 AM: Low-Dimensional Session Talk #2.1
    Investigations in Knot Positivity — Lizzie Buchanan
  - 09:00 AM: Low-Dimensional Session Talk #2.2
    Another proof of functoriality for odd Khovanov homology — Dean Spyropoulos
  - 09:30 AM: Low-Dimensional Session Talk #2.3
    A minimality criterion for SL(4) skeins — Anup Poudel
  - 10:00 AM: Low-Dimensional Session Talk #2.4
    Lie superalgebras and the minimal genus of virtual links — Micah Chrisman
- Graphs Session #2 in HUMB 146
  - 08:30 AM: Graphs Session Talk #2.1
    Optimization of the lattice stick number in handcuff graphs — Sungjong No
  - 09:00 AM: Topological Graph Theory Problem Session
    Problem Session — Elena Pavelescu
- Dynamics/CT Session #2 in HUMB 148
  - 08:30 AM: Dynamics/CT Session Talk #2.1
    $k$-type chaos of $\mathbb{Z}^d$-actions — Anshid Aboobacker
  - 09:00 AM: Dynamics/CT Session Talk #2.2
    Elliptic sectors and heteroclinic regions in real time holomorphic flows — Nicolas Kainz
  - 09:30 AM: Dynamics/CT Session Talk #2.3
    Generalized Proinov-type contractions using simulation functions with applications to fractals — Ramesh Kumar Devaraj
  - 10:00 AM: Dynamics/CT Session Talk #2.4
    Chaos on Peano continua — Klára Karasová
10:30 AM: Coffee Break
11:00 AM: Plenary Talk #2 in HUMB 170
The Shape of Relations: From Knot Invariants to Cancer Genomics — Radmila Sazdanovic
12:00 PM: Lunch and Conference Photo in Terrace Room, Student Center
01:15 PM: Semi-Plenary Talks #2
- Semi-Plenary Talk #2.1 in HUMB 170
  Homogeneity degree in local dendrites — Patricia Pellicer-Covarrubias
- Semi-Plenary Talk #2.2 in HUMB 150
  A survey of intrinsically linked and intrinsically knotted graphs, including an outline of an incomplete possible alternate proof of Sachs' linkless embedding conjecture — Joel Foisy
- Semi-Plenary Talk #2.3 in HUMB 160
  Independence, ideal independence and forcing indestructibility — Vera Fischer
02:15 PM: Coffee Break
02:30 PM: Parallel Sessions #3
- Computing Session #3 in HUMB 142
  - 02:30 PM: Computing Session Talk #3.1
    Persistence-Augmented Neural Networks — Elena Wang
  - 03:00 PM: Computing Session Talk #3.2
    Representations of Micrograph Geometry for Machine Learning — Benjamin Schweinhart
  - 03:30 PM: Computing Session Talk #3.3
    Topological Feature Selection for Time Series Data — Johnathan Bush
  - 04:00 PM: Computing Session Talk #3.4
    Squares inscribed in ray compactifications — Ulises Morales-Fuentes
- Dynamics/CT Session #3 in HUMB 160
  - 02:30 PM: Dynamics/CT Session Talk #3.1
    Building Continua with non-trivial self covers — Mathew Timm
  - 03:00 PM: Dynamics/CT Session Talk #3.2
    Inverse Limits with Smith Functions and Indecomposability — Scott Varagona
  - 03:30 PM: Dynamics/CT Session Talk #3.3
    Plane embeddings of continua, and accessible points — Logan Hoehn
  - 04:00 PM: Dynamics/CT Session Talk #3.4
    On the set function $\wp$ — Sergio Macias
- General/ST Session #3 in HUMB 150
  - 02:30 PM: General/ST Session Talk #3.1
    A measure of Isbell-convexity for a quasi-metric space — Collins Amburo Agyingi
  - 02:55 PM: General/ST Session Talk #3.2
    On the modular metric topology — Olivier Olela-Otafudu
  - 03:20 PM: General/ST Session Talk #3.3
    Partial metric spaces - topological properties and applications — Dariusz Bugajewski
  - 03:45 PM: General/ST Session Talk #3.4
    The Borel hierarchies of function spaces consisting of metrics — Katsuhisa Koshino
  - 04:10 PM: General/ST Session Talk #3.5
    In the quest for squares in plane continua — Cristina Villanueva-Segovia
- Graphs Session #3 in HUMB 146
  - 02:30 PM: Graphs Session Talk #3.1
    An intrinsically linked simplicial $n$-complex — Ryo Nikkuni
  - 03:00 PM: Graphs Session Talk #3.2
    Graph Linkage on Surfaces — Dong Ye
  - 03:30 PM: Graphs Session Talk #3.3
    Decomposing $2$-cycles of graphs — Hein Van der Holst
  - 04:00 PM: Graphs Session Talk #3.4
    Embedding Cartesian Products of Graphs on Surfaces — Christian Millichap
- Low-Dimensional Session #3 in HUMB 144
  - 02:30 PM: Low-Dimensional Session Talk #3.1
    Holonomicity from a Heegaard-Floer perspective — Ben Cooper
  - 03:00 PM: Low-Dimensional Session Talk #3.2
    Thompson's Groups, Annular Links, and Tangles — Louisa Liles
  - 03:30 PM: Low-Dimensional Session Talk #3.3
    Skein identities at roots of unity — Vijay Higgins
  - 04:00 PM: Low-Dimensional Session Talk #3.4
    Geometric triangulations of the complement of double twist knots — Dionne Ibarra
04:40 PM: Plenary Talk #3 in HUMB 170
Hausdorff vs Gromov-Hausdorff distances — Henry Adams
05:45 PM: Steering Committee Meeting in HUMB 150

August 13

08:15 AM: Check-In in Humanities Building (HUMB)
08:30 AM: Parallel Sessions #4
- Computing Session #4 in HUMB 142
  - 08:30 AM: Computing Session Talk #4.1
    Facets in the Vietoris--Rips complexes of hypercubes — Ziqin Feng
  - 09:00 AM: Computing Session Talk #4.2
    Homotopy connectivity of Cech complexes of spheres. — Sucharita Mallick
- Dynamics/CT Session #4 (CANCELED)
- General/ST Session #4 in HUMB 150
  - 08:30 AM: General/ST Session Talk #4.1
    Cardinal bounds in spaces with a $\pi$-base whose elements have an H-closed closure — Davide Giacopello
  - 09:00 AM: General/ST Session Talk #4.2
    Countable dense homogeneity and topological groups — Andrea Medini
- Graphs Session #4 in HUMB 146
  - 08:30 AM: Graphs Session Talk #4.1
    Flowers of knots — Kouki Taniyama
  - 09:00 AM: Graphs Session Talk #4.2
    Forbidden complexes for the 3-sphere — Makoto Ozawa
- Low-Dimensional Session #4 (CANCELED) in HUMB 144
09:30 AM: Coffee Break
09:50 AM: Plenary Talk #4 in HUMB 170
Cardinal inequalities for non-Hausdorff topological spaces — Ivan Gotchev
11:00 AM: Semi-Plenary Talks #3
- Semi-Plenary Talk #3.1 in HUMB 160
  Shadowing in $\mathcal C(X)$ — Jonathan Meddaugh
- Semi-Plenary Talk #3.2 in HUMB 150
  Analyzing the Geometric Topology of Artificial (ReLU) Neural Networks — Marissa Masden
12:15 PM: Excursion and Banquet in Historic Downtown Mobile, Alabama

August 14

08:15 AM: Check-In in Humanities Building (HUMB)
08:30 AM: Parallel Sessions #5
- Computing Session #5 (CANCELED) in HUMB 142
- Dynamics/CT Session #5 in HUMB 160
  - 08:30 AM: Dynamics/CT Session Talk #5.1
    Equivalence of equicontinuity and distality for real non-autonomous systems — Sushmita Yadav
  - 09:00 AM: Dynamics/CT Session Talk #5.2
    On various forms of independence and minimality for general triangular systems — Deepanshu Dhawan
  - 09:30 AM: Dynamics/CT Session Talk #5.3
    Speedups of Toeplitz Flows — Lori Alvin
  - 10:00 AM: Dynamics/CT Session Talk #5.4
    Neighborhood N-Shadowing — Ellie Stephens
- General/ST Session #5 in HUMB 150
  - 08:30 AM: General/ST Session Talk #5.1
    Holey Vietoris--Rips complex, Batman! — Chris Wells
  - 08:55 AM: General/ST Session Talk #5.2
    Pseudo-$\aleph_1$-compactness in $\mathbb R$-factorizable groups — Olga Sipacheva
  - 09:20 AM: General/ST Session Talk #5.3
    Stone-Cech extensions of pseudocompact convex spaces. — Evgenii Reznichenko
  - 09:45 AM: General/ST Session Talk #5.4 (cancelled)
    Cancelled: The $F_\sigma$-below relation and some new separation axioms in the category of locales — Mbekezeli Nxumalo
  - 10:10 AM: General/ST Session Talk #5.5 (cancelled)
    Cancelled: $Q$-sets, $\Delta$-sets and $L$-spaces — Pourya Memarpanahi
- Graphs Session #5 in HUMB 146
  - 08:30 AM: Graphs Session Talk #5.1
    Ribbonlength along three-page presentation of links — Hyungkee Yoo
  - 09:00 AM: Graphs Session Talk #5.2
    Obstructions to knotless embedding — Hyoungjun Kim
  - 09:30 AM: Graphs Session Talk #5.3
    Decomposition of Complete Graphs into Arbitrary Trees and Hamiltonian Cycles — Murugan Varadhan
  - 10:00 AM: Graphs Session Talk #5.4
    Topological Characterization of Carbon Allotrope Graphs Using Multifractal Analysis — D. Easwaramoorthy
- Low-Dimensional Session #5 in HUMB 144
  - 08:30 AM: Low-Dimensional Session Talk #5.1
    Skein Modules for 3-Manifolds and Their Structure — Rhea Bakshi
  - 09:00 AM: Low-Dimensional Session Talk #5.2
    Multiple Virtual Knot Theory — Lou Kauffman
  - 09:30 AM: Low-Dimensional Session Talk #5.3
    On algebraic invariants of multi-virtual knots — Sujoy Mukherjee
  - 10:00 AM: Low-Dimensional Session Talk #5.4 (CANCELED)
10:30 AM: Coffee Break
11:00 AM: Plenary Talk #5 in HUMB 170
Bounded cohomology of transformation groups of $\mathbb{R}^n$ — Francesco Fournier-Facio
12:00 PM: Lunch in Humanities Building Hallway
01:00 PM: Semi-Plenary Talks #4
- Semi-Plenary Talks #4.1 in HUMB 160
  Formalizing Braid Groups — Hannah Fechtner
- Semi-Plenary Talks #4.2 in HUMB 150
  Infinite Games — Jocelyn Bell
02:10 PM: Plenary Talk #6 in HUMB 170
On tracing properties, invariant measures, and entropy. — Piotr Oprocha
03:10 PM: Final Remarks in HUMB 170