8 papers
Symmetry and solvability: Galois groups of equivariant enumerative problems
Thomas Brazelton, Alberto Landi, Sidhanth Raman
At the genesis of Galois theory at the end of the 19th century, enumerative geometers were concerned with the solvability of various problems: for instance whether one can express…
The geometry of solutions to the general sextic
Sidhanth Raman
We study the geometry of the three simplest known formulas for roots of a general sextic polynomial. In contrast with work of Green on the quintic, we show that no "simultaneous un…
Uniform estimates for random matrix products and applications
Omar Hurtado, Sidhanth Raman
For certain natural families of topologies, we study continuity and stability of statistical properties of random walks on linear groups over local fields. We extend large deviatio…
Cyclic Nielsen realization for del Pezzo surfaces
Seraphina Eun Bi Lee, Tudur Lewis, Sidhanth Raman
The cyclic Nielsen realization problem for a closed, oriented manifold asks whether any mapping class of finite order can be represented by a homeomorphism of the same order. In th…
G.N. Chebotarev's "On the Klein-Hilbert Resolvent Problem"
Sidhanth Raman
This is an English translation of G.N. Chebotarev's paper "On The Klein-Hilbert Resolvent Problem" which was originally written in Russian and published in Izvestiya Kazan. Fiz. Ma…
Monodromy in the space of symmetric cubic surfaces with a line
Thomas Brazelton, Sidhanth Raman
We explore the enumerative problem of finding lines on cubic surfaces defined by symmetric polynomials. We prove that the moduli space of symmetric cubic surfaces is an arithmetic…
Fractals in Africanist Music
Claudio Gómez-Gonzáles, Sidhanth Raman, Siddharth Viswanath +1
We investigate fractal structures in African and African diasporic music, building on hypotheses of choreographer Reggie Wilson and research on fractals in African material culture…
A smooth Birman-Hilden theory for hyperkähler manifolds
Sidhanth Raman
This article grew out of an effort to understand the smooth mapping class groups of certain 4-manifolds in a geometric manner. We prove a smooth analog of the Birman-Hilden theorem…