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  • Research
  • Teaching
  • Travels
  • Seminars
  • REU 2022: Topology at UA
  • SEC Topology

2022 Research Experience for Undergraduates at the University of Alabama

Topology: Knots, 3- and 4 manifolds

Dates: June 6-July 18, 2022
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Our Team

Picture
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)
​

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"

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 poster was prepared and presented at a poster session at Georgia Tech (July 20, 2022).
A paper is in preparation. 

  • ​​Audrick Pyronneau and Nicolas Fontova: On Fox's conjecture and quasi-alternating knots
A poster was prepared and presented at a poster session at Georgia Tech (July 20, 2022).
A paper is in preparation. 


Here are they presenting their posters:
Contact Information:
Office: 313B Gordon Palmer
btosun@ua.edu
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