Lực Ta

Hello! I’m a senior at Yale University studying mathematics and ethnic studies. (You might know me as Luc Ta; that was my name prior to 2025.)

Starting this fall, I’ll be a Ph.D. student in mathematics at the University of Pittsburgh supported by the K. Leroy Irvis Fellowship. I plan to become a mathematics professor in the future.

Below is a list of my publications. To read more about me, please refer to my CV or my bio. Both of these are also accessible via the navigation bar located at the top of this webpage, along with a few of my teaching resources and a catalog of my music.

Publications

Research Articles

Generalized Legendrian racks: Classification, tensors, and knot coloring invariants. Submitted. Preprint, arXiv:2504.12671 [math.GT], 2025. (Presentation slides: Mellon Forum [nontechnical], HRUMC [technical], undergrad thesis defense [very technical].)

Constructions of and bounds on the toric mosaic number, with Kendall Heiney, Margaret Kipe, Samantha Pezzimenti, and Kaelyn Pontes. Submitted. Preprint, arXiv:2504.02265 [math.GT], 2025.

Bounds on the mosaic number of Legendrian knots, with Margaret Kipe, Samantha Pezzimenti, Leif Schaumann, and Wing Hong Tony Wong. Submitted. Preprint, arXiv:2024.08064 [math.GT], 2024. (Presentation slides: JMM.)

Editor-Reviewed Publications

Lực Ta. Integer sequences “A375353,” “A375355,” “A375356,” “A375357,” “A375392,” “A375619,” and “A376155” related to knot mosaics, hyperbolic links, and extremal graphs. On-Line Encyclopedia of Integer Sequences (OEIS), 2024.

Margaret Kipe, Samantha Pezzimenti, Leif Schaumann, Lực Ta, and Wing Hong Tony Wong. Integer sequences “A374939,” “A374942,” “A374943,” “A374944,” “A374945,” “A374946,” “A374947,” and “A375354” tabulating Legendrian knot/link mosaics and mosaic numbers of Legendrian knots. On-Line Encyclopedia of Integer Sequences (OEIS), 2024.

Giving a presentation on toric knot mosaics at UnKnot V