Department of Mathematical Sciences
Colloquia and Seminars
Areas of Research
About the Department
- Po-Shen Loh appointed National Lead Coach for the USA International Mathematical Olympiad TeamThe International Mathematical Olympiad is the premier math competition for
high school students worldwide, and is the oldest of the International
Science Olympiads. Since its inception in 1959, the Olympiad has developed
a rich legacy, facilitating early talent identification and cultivation on
nationwide scales. Each country independently organizes its own Olympiad
program, and Po-Shen Loh, Assistant Professor of Mathematics and CMU's
Putnam organizer, has been appointed to the national lead coach position
("Team Leader") for the United States of America. In addition to directing
national team selection and training activities, Po-Shen is building upon
the Olympiad platform to bridge the worlds of high school and research
mathematics, as well as to broaden interest in mathematics on the national
- Conference in honor of Steve Shreve’s 65th birthdayMethods of Mathematical Finance
Carnegie Mellon University, Pittsburgh, PA, June 1–5, 2015
Organizers: Dmitry Kramkov, Kasper Larsen, Scott Robertson, and H. Mete Soner
- PIRE WorkshopFrom Grain Boundaries to Stochastic Homogenization
University of Leipzig, Germany, July 20 - 23, 2015
Organizers: Irene Fonseca, Richard James, Stephan Luckhaus, Felix Otto and Peter Smereka
- Putnam Mathematical CompetitionThe William Lowell Putnam Mathematical Competition is an annual
contest for college students established in 1938 in memory of its
namesake. This contest is administered by the Mathematical
Association of America. Over 4000 undergraduate students from
nearly 600 institutions in North America took part in the exam in
2013. Carnegie Mellon's team, which consisted of Michael Druggan,
Linus Hamilton and Thomas Swayze placed second. Furthermore, 35 CMU
students placed among the top 442.
- Master of Science in Computational Finance ranked #1 QuantNet, a leading online news outlet in the field of financial engineering,
has recognized the Master in Computational Finance (MSCF) program at Carnegie
Mellon University as #1 in its 2013 ranking of financial engineering programs.
This is the second #1 ranking in a row for MSCF, which was also ranked first
in the 2011 Quantnet ranking.
"We created the first professional degree in computational finance
almost 20 years ago, and now there are scores of them, including
at Columbia, NYU, Princeton and UC-Berkeley," said Steve Shreve, Professor
of Mathematical Sciences and one of the founders of the CMU MSCF program.
"I believe we owe our leading position to the fact that Mathematical
Sciences chose to create this degree jointly with the Tepper School of
Business, the Department of Statistics, and the information technology
faculty in the Heinz College. To succeed in the finance industry, one
needs a strong foundation in math, but one also needs to deal with data,
write computer code, and understand the business environment.
Inter-disciplinarity is a hallmark of Carnegie Mellon."
Although MSCF is inter-disciplinary, the Department of Mathematical Sciences plays a critical role, teaching a third of the curriculum and providing leadership in policy matters. The Department is deeply invested in the applications of mathematics to finance. The Department is home
to the Bachelor's program in Computational Finance and graduates a steady stream of Ph.D. students whose research treats mathematical problems arising in finance.
- Alan Frieze to deliver plenary lectureProfessor Alan Frieze has been invited
to deliver a plenary lecture at the 2014
International Congress of Mathematicians (ICM). The
ICM is one of the largest and most prestigious
international congresses in the mathematics community.
A number of major prizes, including the Fields Medal,
are awarded at this event. As the ICM is held once
every four years, only a very select group of
mathematicians who have had a major
impact on the field are invited to deliver plenary
Professor Frieze is a pioneer in the study of random
combinatorial structures and the use of randomness in
algorithms. His polynomial-time algorithm for
approximating the volume of a convex body (joint work
with M. Dyer and R. Kannan) has had a lasting impact on theoretical Computer Science.
Another major contribution (also in joint work with
R. Kannan) is a weak version of the Szemeredi
Regularity Lemma. This weak regularity Lemma is
a critical tool in Combinatorics.
- PIRE WorkshopAtomistic and Multi-Scale Models of Materials
University of Warwick, United Kingdom, 15–18 September 2014
Organizers: Giovanni Leoni, Christoph Ortner and Florian Theil
- Mackey wins the 2013 Ryan teaching awardJohn Mackey, Teaching Professor, Associate Department Head and Director of Undergraduate Studies in Mathematical Sciences, received the
2013 William H. and Frances S. Ryan Award for Meritorious Teaching.
This prestigious university-wide award is given annually to
a faculty member at Carnegie Mellon who has demonstrated
unusual devotion and effectiveness in teaching. Professor
Mackey is particularly adept at delivering sophisticated
mathematical content to large groups of students. This is apparent
in his extremely successful re-design of the
course Concepts of Mathematics, a course that plays a pivotal role in
the Mathematics and Computer Science curricula at CMU.
- Putnam Mathematical CompetitionCMU team places 5th on the 2012 William Lowell Putnam Mathematical Competition. This is the fifth top 5 Putnam performance for CMU.
- Gautam Iyer Awarded Sloan FellowshipGautam Iyer, an assistant professor of Mathematical Sciences and
member of the Center for Nonlinear Analysis, was named a 2013 Sloan Research
Fellow . These fellowships seek to stimulate fundamental research by
early-career scientists and scholars of outstanding promise.
Professor Iyer studies the equations that model incompressible fluids,
diffusive transport, mixing, liquid crystals and coagulation using tools from
both Probability and Analysis. His research advances our understanding of
mathematical models for a variety of phenomena, including physical and chemical
One of Professor Iyer's research projects addresses vacuums in fluids. It is
universally known that nature abhors a vacuum. In the context of compressible
fluids, however, a rigorous proof of this law has eluded mathematicians for
quite some time. Professor Iyer hopes to use a probabilistic
representation of fluids that he developed in his phd thesis to further our
understanding of the emergence of vacuum states in compressible fluids.
- President of the Society for Industrial and Applied MathematicsPITTSBURGH— Irene Fonseca, Mellon College of Science Professor of Mathematics, has been elected president of the Society for Industrial and Applied Mathematics, an international professional society for applied mathematicians. She served a one-year term as president-elect in 2012. On January 1, 2013 she began a two-year term as president.
- Summer Undergraduate Applied Mathematics InstituteDates: May 27 - July 22, 2014
Carnegie Mellon University will offer a summer program for twelve undergraduates considering research careers in mathematical sciences. Students who have finished their sophomore or junior years and who have strong academic records will be given preference. Among applicants who are otherwise comparable, admission to the program will be designed to create an ethnically diverse group of participants. Applications from women and minorities are especially encouraged.
- Eugene P. Shelly Visiting Associate ProfessorThe Department of Mathematical Sciences at Carnegie Mellon University expects to annually appoint a Shelly Visiting Associate Professor for a term of one academic year. This position, created through a gift of Eugene P. Shelly, is intended for regular mathematics faculty members at institutions that focus primarily on teaching. The idea is to give Carnegie Mellon faculty and graduate students an opportunity to improve their teaching skills through interaction with the visitor, while simultaneously providing the visitor with an enriched research experience. Application procedures are set each fall.
- Putnam Mathematical CompetitionCMU team places 2nd on the 2011 William Lowell Putnam Mathematical Competition. This is the best Putnam result ever for CMU.