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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 Central Time (US & Canada).

August 10

03:30 PM

06:30 PM

August 11

08:00 AM

08:30 AM

08:40 AM

Projections of spatial graphs — Erica Flapan

09:40 AM

10:00 AM

10:00 AM

A mechanized characterization of coherent $2$-groups — Perry Hart

10:30 AM

Computing path homology chains by inductive construction — Matthew Burfitt

11:00 AM

Sheaf Cohomology and the Algebraic Path Problem — Kaelyn Willingham

11:30 AM

Sequential topological complexity of symmetric products of surfaces — Ekansh Jauhari

10:00 AM

Retract or Not: A Tale of Two Fans — Iztok Banic

10:30 AM

Lelek-like fans — Ivan Jelić

11:00 AM

Specification in Mahavier Systems via Closed Relations — Goran Erceg

11:30 AM

Turbulent closed relations — Judy Kennedy

10:00 AM

10:25 AM

Combinatorial covering properties in countable and uncountable contexts — Michał Pawlikowski

10:50 AM

Combinatorial structures of concentrated sets — Piotr Szewczak

11:15 AM

Reflecting topological properties in closures of countable sets. — Vladimir Tkachuk

11:40 AM

Sequential and countable compactness associated to Ramsey-like properties — Cesar Corral

10:00 AM

Properties of the Penrose Polynomial — Dan Silver

10:30 AM

Unavoidable Induced Subgraphs of Large Graphs — Sarah Allred

11:00 AM

On Distance-Scaling Transformations and Isomorphisms of Euclidean Distance Graphs on the Rational Points — Matt Noble

11:30 AM

A Transversal of Planar Graph Faces — Joseph Briggs

10:00 AM

Ideal Triangulations and Once-Punctured Surface Bundles — Birch Bryant

10:30 AM

On the neighborhood of knots in the space of open curves — Eleni Panagiotou

11:00 AM

Triple point numbers of 2-twist spun knots — Scott Carter

11:30 AM

In search for homology of Bol-Moufang quasigroups — Jozef Przytycki

12:00 PM

01:00 PM

Khovanov skein lasagna modules and exotica — Mike Willis
Unknotting numbers of spatial graphs, knots and DNA — Danielle O'Donnol

02:00 PM

02:30 PM

05:30 PM

August 12

08:15 AM

08:30 AM

08:30 AM

Comparison of Precinct and District Voting Data Using Persistent Homology to Identify Gerrymandering in North Carolina — Ananya Shah

09:00 AM

Unmapped Territory for Topological Data Analysis: Mathematics Education — Devin Hensley

09:30 AM

Unveiling Topological Structures in Text & Speech — Adaku Uchendu

10:00 AM

Efficient evader detection in mobile sensor networks — William Ott

08:30 AM

An iterable forcing property and universally meager sets — Valentin Haberl

08:55 AM

Frechet spaces and M-separable (selectively separable) spaces — Alan Dow

09:20 AM

Metrization theorem in forcing extensions — Akira Iwasa

09:45 AM

Topological spaces after forcing — Pedro Marun

10:10 AM

The Shape of Generating Families — Paul Gartside

08:30 AM

Investigations in Knot Positivity — Lizzie Buchanan

09:00 AM

Another proof of functoriality for odd Khovanov homology — Dean Spyropoulos

09:30 AM

A minimality criterion for SL(4) skeins — Anup Poudel

10:00 AM

Lie superalgebras and the minimal genus of virtual links — Micah Chrisman

08:30 AM

Optimization of the lattice stick number in handcuff graphs — Sungjong No

09:00 AM

Problem Session — Elena Pavelescu

08:30 AM

$k$-type chaos of $\mathbb{Z}^d$-actions — Anshid Aboobacker

09:00 AM

Elliptic sectors and heteroclinic regions in real time holomorphic flows — Nicolas Kainz

09:30 AM

Generalized Proinov-type contractions using simulation functions with applications to fractals — Ramesh Kumar Devaraj

10:00 AM

Chaos on Peano continua — Klára Karasová

10:30 AM

11:00 AM

The Shape of Relations: From Knot Invariants to Cancer Genomics — Radmila Sazdanovic

12:00 PM

01:15 PM

Homogeneity degree in local dendrites — Patricia Pellicer-Covarrubias
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
Independence, ideal independence and forcing indestructibility — Vera Fischer

02:15 PM

02:30 PM

02:30 PM

Persistence-Augmented Neural Networks — Elena Wang

03:00 PM

Representations of Micrograph Geometry for Machine Learning — Benjamin Schweinhart

03:30 PM

Topological Feature Selection for Time Series Data — Johnathan Bush

04:00 PM

Squares inscribed in ray compactifications — Ulises Morales-Fuentes

02:30 PM

Building Continua with non-trivial self covers — Mathew Timm

03:00 PM

Inverse Limits with Smith Functions and Indecomposability — Scott Varagona

03:30 PM

Plane embeddings of continua, and accessible points — Logan Hoehn

04:00 PM

On the set function $\wp$ — Sergio Macias

02:30 PM

A measure of Isbell-convexity for a quasi-metric space — Collins Amburo Agyingi

02:55 PM

On the modular metric topology — Olivier Olela-Otafudu

03:20 PM

Partial metric spaces - topological properties and applications — Dariusz Bugajewski

03:45 PM

The Borel hierarchies of function spaces consisting of metrics — Katsuhisa Koshino

04:10 PM

In the quest for squares in plane continua — Cristina Villanueva-Segovia

02:30 PM

An intrinsically linked simplicial $n$-complex — Ryo Nikkuni

03:00 PM

Graph Linkage on Surfaces — Dong Ye

03:30 PM

Decomposing $2$-cycles of graphs — Hein Van der Holst

04:00 PM

Embedding Cartesian Products of Graphs on Surfaces — Christian Millichap

02:30 PM

Holonomicity from a Heegaard-Floer perspective — Ben Cooper

03:00 PM

Thompson's Groups, Annular Links, and Tangles — Louisa Liles

03:30 PM

Skein identities at roots of unity — Vijay Higgins

04:00 PM

Geometric triangulations of the complement of double twist knots — Dionne Ibarra

04:40 PM

Hausdorff vs Gromov-Hausdorff distances — Henry Adams

05:45 PM

August 13

08:15 AM

08:30 AM

08:30 AM

Facets in the Vietoris--Rips complexes of hypercubes — Ziqin Feng

09:00 AM

Homotopy connectivity of Cech complexes of spheres. — Sucharita Mallick

08:30 AM

Cardinal bounds in spaces with a $\pi$-base whose elements have an H-closed closure — Davide Giacopello

09:00 AM

Countable dense homogeneity and topological groups — Andrea Medini

08:30 AM

Flowers of knots — Kouki Taniyama

09:00 AM

Forbidden complexes for the 3-sphere — Makoto Ozawa

09:30 AM

09:50 AM

Cardinal inequalities for non-Hausdorff topological spaces — Ivan Gotchev

11:00 AM

Shadowing in $\mathcal C(X)$ — Jonathan Meddaugh
Analyzing the Geometric Topology of Artificial (ReLU) Neural Networks — Marissa Masden

12:15 PM

August 14

08:15 AM

08:30 AM

08:30 AM

Equivalence of equicontinuity and distality for real non-autonomous systems — Sushmita Yadav

09:00 AM

On various forms of independence and minimality for general triangular systems — Deepanshu Dhawan

09:30 AM

Speedups of Toeplitz Flows — Lori Alvin

10:00 AM

Neighborhood N-Shadowing — Ellie Stephens

08:30 AM

Holey Vietoris--Rips complex, Batman! — Chris Wells

08:55 AM

Pseudo-$\aleph_1$-compactness in $\mathbb R$-factorizable groups — Olga Sipacheva

09:20 AM

Stone-Cech extensions of pseudocompact convex spaces. — Evgenii Reznichenko

09:45 AM

Cancelled: The $F_\sigma$-below relation and some new separation axioms in the category of locales — Mbekezeli Nxumalo

10:10 AM

Cancelled: $Q$-sets, $\Delta$-sets and $L$-spaces — Pourya Memarpanahi

08:30 AM

Ribbonlength along three-page presentation of links — Hyungkee Yoo

09:00 AM

Obstructions to knotless embedding — Hyoungjun Kim

09:30 AM

Decomposition of Complete Graphs into Arbitrary Trees and Hamiltonian Cycles — Murugan Varadhan

10:00 AM

Topological Characterization of Carbon Allotrope Graphs Using Multifractal Analysis — D. Easwaramoorthy

08:30 AM

Skein Modules for 3-Manifolds and Their Structure — Rhea Bakshi

09:00 AM

Multiple Virtual Knot Theory — Lou Kauffman

09:30 AM

On algebraic invariants of multi-virtual knots — Sujoy Mukherjee

10:00 AM

10:30 AM

11:00 AM

Bounded cohomology of transformation groups of $\mathbb{R}^n$ — Francesco Fournier-Facio

12:00 PM

01:00 PM

Formalizing Braid Groups — Hannah Fechtner
Infinite Games — Jocelyn Bell

02:10 PM

On tracing properties, invariant measures, and entropy. — Piotr Oprocha

03:10 PM