Tom Sachen


I study (the philosophy of) math at SNS Pisa. I aim to understand the interaction between

{algebraic logic, category theory, geometry}

and

{the philosophy of mathematics, mathematical proof, epistemology \& cognition}.


You might also be interested in my {cv, blog, music}.
Or write me at tomsachen[at]gmail[dot]com.

papers

Concordances of sums of alternating torus knots to L-space knots (2025) [arXiv]
w/ D. Guyer; Journal of Knot Theory and its Ramifications.

Toward persistent Hodge theory in geometric data analysis (2023) [pdf]

p-adic Hodge Theory & derived spectral sequences (2023) [pdf]
Princeton senior thesis, advised by Bhargav Bhatt.

Classifying Brieskorn varieties and Brieskorn manifolds (2022) [pdf]
Princeton junior thesis, advised by Chenyang Xu.

A Survey of Knot Concordance and L-space knots (2021) [pdf]

Geometric Aspects of Growth of Finitely Generated Groups (2021) [video]
Talk at UConn Vir(tu)al Conference 2021

other

here is torus knot visualization tool I made.