Tom Sachen


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

{Hilbert's 24th problem, homotopy type theory, categorical logic}

and

{epistemology & cognition in mathematical practice}.


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 (2024) [arXiv]
w/ Dan Guyer; to appear in 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

toroscillator : A 4D toric oscilloscope. And see here for a simpler torus knot visualization tool.

fractal forest : An interactive visualization of the relationship between Sierpinski sieves and fractal trees.