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Picture of me

Welcome! I am a Math Fellow (used to be Visiting Assistant Professor) at University of California, Santa Barbara. My mentor is Francesc Castella.

Previously, I was an Assistant Adjunct Professor at UCLA working with Romyar Sharifi.

I graduated from Princeton University in 2022 with a PhD where my adivsor is Christopher Skinner. Before that I did Part III in Cambridge and undergrad at Imperial College London.

Here is my CV.

I used to help organize the UCLA Number Theory Seminar.

My email and my office can be found in this link !


My research interests include Number Theory, Arithmetic Geometry, more specifically Euler systems, Iwasawa theory, Galois representations, L−functions, their special values and p-adic interpolations.

Here are some of my papers.

Anticyclotomic Euler system over biquadratic fields
Kim Tuan Do
to appear Algebra & Number Theory
pdf
Diagonal cycles and anticyclotomic Iwasawa theory of modular forms
Francesc Castella and Kim Tuan Do
J. Eur. Math. Soc. (JEMS)
link
Construction of an anticyclotomic Euler system with applications
Kim Tuan Do
PhD. thesis, Princeton University 2022.
link


In addition to my core research in algebraic number theory, I am actively engaged in collaboration with Trung Phan, applying Maths to complex systems in biology and physics.

Quantum Algorithm for Estimating Intrinsic Geometry
Nhat A. Nghiem, Tuan K. Do, Tzu-Chieh Wei, and Trung V. Phan
submitted
link
A Schrodinger Equation for Evolutionary Dynamics
Ao, V.D., Tran, D.V., Pham, K.T., Nguyen, D.M., Tran, H.D., Do, T.K., Do, V.H., Phan, T.V.
Quantum Rep. 2023, 5, 659-682
link
On the Electrostatic Interaction Between Point Charges Due to Dielectrical Shielding
L. T. Nguyen, T. K. Do and T. V. Phan
Progress In Electromagnetics Research Letters, Vol. 107, 111-118, 2022
link
Equal Radiation Frequencies from Different Transitions in the Non-Relativistic Quantum Mechanical Hydrogen Atom
T. K. Do and T. V. Phan
Quantum Rep. 2022, 4(3), 272-276
link
It doesn't always pay to be fit: success landscapes
T. V. Phan, G. Wang, T. K. Do, I. G. Kevrekidis, S. Amend, E. Hammarlund, K. Pienta, J. Brown, L. Liu and R. H. Austin
J Biol Phys 2021
link
Bacterial route finding and collective escape in Mazes and Fractals
T. V. Phan, R. Morris, M. E. Black, T. K. Do, K. Lin, K. Nagy, J. C. Sturm, J. Bos and R. H. Austin
Phys. Rev. X 10, 031017
link


Bonus: Here is my wife Như's brother, , who used to attend lots of Zoom's Maths lectures/seminars during the pandemic.

Note that this webpage design is pirated from my supervisor's academic-sibling.