18 citations · 102 across the 22 of their papers we have counts for
22 papers
Differential Galois groups of -connections with Coxeter singularities
Masoud Kamgarpour, Daniel S. Sage
A fundamental theorem of Katz \cite{Katz87} determines the differential Galois groups of rank connections on algebraic curves with slope at a singularity, where $\gcd(r,n…
Explicit constructions of connections on the projective line with a maximally ramified irregular singularity
Neal Livesay, Daniel S. Sage, Bach Nguyen
The Deligne--Simpson problem is an existence problem for connections with specified local behavior. Almost all previous work on this problem has restricted attention to connections…
Meromorphic connections on the projective line with specified local behavior
Daniel S. Sage
A meromorphic connection on the complex projective line induces formal connections at each singular point, and these formal connections constitute the local behavior at the singula…
Opers on the projective line, Wronskian relations, and the Bethe Ansatz
Ty J. Brinson, Daniel S. Sage, Anton M. Zeitlin
It is well-known that the spectra of the Gaudin model may be described in terms of solutions of the Bethe Ansatz equations. A conceptual explanation for the appearance of the Bethe…
The Deligne-Simpson problem for connections on with a maximally ramified singularity
Maitreyee C. Kulkarni, Neal Livesay, Jacob P. Matherne +2
The classical additive Deligne-Simpson problem is the existence problem for Fuchsian connections with residues at the singular points in specified adjoint orbits. Crawley-Boevey fo…
Citations versus expert opinions: Citation analysis of Featured Reviews of the American Mathematical Society
Lawrence Smolinsky, Daniel S. Sage, Aaron J. Lercher +1
Peer review and citation metrics are two means of gauging the value of scientific research, but the lack of publicly available peer review data makes the comparison of these method…