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NEWS in the Department of Mathematics
Funding/Grant REP/Awards/Announcements/Outreach

Anne Ho - PhD preliminary examination
Date: Wednesday, July 30, 2014
Place: Weber, 201
Time: 10:00 a.m.

Title: Counting Artin-Schreier Curves Over Finite Fields

Advisor: Dr. Rachel Pries

Dr. Tim Penttila
Dr. Jeff Achter
Dr. Myung Hee Lee

Abstract: A number of authors have considered the weighted sum of various sets of curves over finite fields $k := F_q$. We denote this $\sum_{[C]} 1/|Aut_k(C)|$ where $[C]$ is the $k$-isomorphism classes of the curves, and $Aut_k(C)$ is the automorphism group of $C$ over $k$. These types of curves include elliptic curves over fields of any characteristic $p$ (Howe), hyperelliptic curves over fields of characteristic two (Van der Geer, Van der Vlugt), as well as Artin-Schreier curves of genus two and three over fields of characteristic two (Nart et al.). We extend the work of these authors by considering Artin-Schreier curves with a more general genus $g$ over fields of any characteristic $p$. We will discuss our results and methods of counting, which include looking at ramification divisors, finding associated rational models $y^p – y = u(x)$, and examining the actions of $PGL_2(k)$ on the models. We will end by discussing open cases and a conjecture.



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U.S. News and World Report: Colorado State University Graduate Programs Among Best in the Nation

FORT COLLINS - Colorado State University graduate programs remain among the nation’s best, according to rankings released by U.S. News and World Report in its 2014 Best Graduate Schools edition.

The professional program in the Department of Occupational Therapy in CSU’s College of Applied Human Sciences - designated a “Program of Excellence” by the state of Colorado - holds the No. 6 spot among similar programs nationwide, based on data collected for 2012.

Colorado State’s professional doctoral veterinary medicine program maintained the third slot in the rankings, a position it has held for more than a dozen years. It is also ranked third in the nation in federal research dollars

In addition to its strong showing in health disciplines, CSU’s graduate programs in science, engineering and business also were recognized as some of the best in the nation. Civil engineering and chemistr

this problem by imposing various conditions on the separating surface by adding terms to the objective function and modifying constraints. We solve the problem via semidefinite programming (SDP). Semidefinite programs are more general than linear programs, and can encode certain kinds of quadratic programs (that is, those involving quadratic constraints or a quadratic objective). SDPs can be solved successfully by most interior-point methods, e.g., by the primal-dual path following algorithm. Devising an algorithm that can be applied to diagnosis of neonatal sepsis is an ongoing research agenda.y were both ranked in the top 50 as was the part-time MBA program in the College of Business. The University’s graduate programs in chemical, mechanical and electrical engineering; biological, computer and earth sciences; mathematics; physics; and social work all ranked in the top 100 in their respective categories.

Such strong graduate programs and a highly productive research faculty combine with a commitment to undergraduate education that places CSU 67th among public universities nationwide, according to U.S. News and World Report’s annual America’s Best Colleges rankings released in September 2012.

Colorado State has long been one of the nation’s top performing research universities. Despite significant cutbacks in federal funding in recent years, CSU has grown its annual research spending to about $330 million in Fiscal Year 2012. The research dollars set a new record high for the university and mark the fifth year in a row that spending has exceeded $300 million. This funding comes from a combination of federal, non-federal and local sources.

“Rankings such as these are a good, third-party barometer of how we are doing in the eyes of others. We will always continue to focus on our missions of providing a top-flight education to our students, conducting groundbreaking research and providing service to people throughout Colorado,” CSU President Tony Frank said. “Our job is to make Colorado State University the best public research university out there.”

In 2011-12, the eight colleges that make up CSU awarded more than 6,600 degrees, including 1,576 masters, 235 doctorates

**Reception following lecture in 117 Weber Building from 4:00-5:30pm.


The National Research Council offers outstanding fellowship opportunities for graduate, postdoctoral and senior researchers. See for details and online application.

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