Mathematics — research projects

• Courses   
• Projects   
• Papers   
• Talks (presented)   
• Talks (attended)   

“Perhaps I could best describe my experience of doing mathematics in terms of entering a dark mansion. You go into the first room and it’s dark, completely dark. You stumble around, bumping into the furniture. Gradually, you learn where each piece of furniture is. And finally, after six months or so, you find the light switch and turn it on. Suddenly, it’s all illuminated and you can see exactly where you were. Then you enter the next dark room…” — Andrew John Wiles

These are some of the math research projects I have been involved in.

• Lie Superalgebras

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  Studying periplectic Lie superalgebras in Verlinde category.
  Mentor Arun S Kannan.

• Combinatorics

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  Upper bounds for sequence saturation.
  Mentor J Geneson (SJSU).

• Twisted Yangians

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  Representations of twisted Yangians in complex rank.
  Mentor AS Kannan (MIT).

• Lie superalgebras

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  Representations of Lie superalgebras.
  Joint work with S Erat.
  Mentor AS Kannan (MIT).

• Commutative algebra

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  Factorization in monoids and semirings.
  With H Jiang and H Kim.
  Mentor F Gotti (MIT).

• Number theory

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  Research project in analytic number theory.
  Mentor J Schettler (SJSU).

• Dynamical systems

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  Lorenz system and the Rikitake model of geomagnetic reversal.
  Instructor L Stanton (SJSU).