2022 Research Experience for Undergraduates at the University of Alabama
Topology: Knots, 3- and 4 manifolds
Dates: June 6-July 18, 2022
Our Team
Mentors:
The program was managed by UA mathematics professors Bülent Tosun and Subhankar Dey.
Student participants:
Veronica King (UT Austin)
Colby Shaw (Georgia Tech)
Audrick Pyronneau (University of West Alabama)
Nicolas Fontova (University of Georgia Athens)
The program was managed by UA mathematics professors Bülent Tosun and Subhankar Dey.
Student participants:
Veronica King (UT Austin)
Colby Shaw (Georgia Tech)
Audrick Pyronneau (University of West Alabama)
Nicolas Fontova (University of Georgia Athens)
Activities
Week 1: June 8 Peter Jackson (University of Virginia/Michigan State University).
Professional Development Talk on "A tutorial on Latex and Drawing Programs"
Week 2: June 15 Lisa Traynor (Bryn Mawr).
Professional Development Talk on "TAing and Teaching"
Research Talk on "Legendrian knot theory"
Week 3: June 22 John Etnyre (Georgia Institute of Technology).
Professional Development Talk on "Preparing and Applying for Graduate Schools"
Research Talk on "Exotic world of 4-manifolds"
Week 4: June 29 Graduate Student Panel: Lawford Hatcher (Indiana University, Bloomington), Blake Jackson (University of Alabama), Marie Neubrander (Duke University)
Week 6: July 13 Swatee Naik (National Science Foundation)
Professional Development Activity on "Fellowship opportunities at NSF"
Research Talk on "Knot concordance and periodicity"
Professional Development Talk on "A tutorial on Latex and Drawing Programs"
Week 2: June 15 Lisa Traynor (Bryn Mawr).
Professional Development Talk on "TAing and Teaching"
Research Talk on "Legendrian knot theory"
Week 3: June 22 John Etnyre (Georgia Institute of Technology).
Professional Development Talk on "Preparing and Applying for Graduate Schools"
Research Talk on "Exotic world of 4-manifolds"
Week 4: June 29 Graduate Student Panel: Lawford Hatcher (Indiana University, Bloomington), Blake Jackson (University of Alabama), Marie Neubrander (Duke University)
Week 6: July 13 Swatee Naik (National Science Foundation)
Professional Development Activity on "Fellowship opportunities at NSF"
Research Talk on "Knot concordance and periodicity"
More pictures
From left to right:
- Veronica and Colby: A proud moment. They found Fibonacci numbers as a key ingredient for their work. These numbers are really everywhere!
- A group discussion
- Audrick and Nico: formulating the right question
- A group photo in front of the math building
Projects/Results
- Veronica King and Colby Shaw: Unknotted curves on Seifert surfaces.
A paper is in preparation.
UPDATE: A resulting paper, "Unknotted curves on genus one Seifert surfaces of Whitehead doubles" is available on arxiv:2307. 04313, and the paper is accepted to appear in Pacific Journal of Mathematics.
- Audrick Pyronneau and Nicolas Fontova: On Fox's conjecture and quasi-alternating knots
A paper is in preparation.
More Updates
- Audrick started his PhD studies at UT at Austin in Fall 2023.
- Nico started his PhD studies at NC State in Fall 2023.
- Veronica is spending 2023-2024 in Germany as a Fulbright fellow.
- Colby is in the process of applying to graduate schools.
- Dr. Dey started a postdoctoral fellowship at Durham University in Fall 2023.
