Mathematical Sciences
Department of Mathematical Sciences
Events People Colloquia and Seminars Conferences Centers Positions Areas of Research About the Department Alumni Departmental Newsletter newsletter QUICK LINKS
SIAM Student Chapter Apply Now
  • Boris Bukh named Sloan Research FellowBoris Bukh, an assistant professor of Mathematical Sciences, was named a 2015 Sloan Research Fellow. These fellowships seek to stimulate fundamental research by early-career scientists and scholars of outstanding promise.

    Professor Bukh's research connects Combinatorics and Geometry with other areas of mathematics. He studies the appearance of rigid geometric structures as answers (or conjectured answers) to classical combinatorial problems, the problem of approximation of large geometric point sets, and geometric incidence problems. His work on these problems draws on tools from - and makes connections with - logic, number theory, and algebraic topology. Professor Bukh is affiliated with Carnegie Mellon's interdisciplinary PhD program in Algorithms, Combinatorics and Optimization.

  • images/LayoutHomeImages/john_nash.jpg
    Alumnus John NashThe Department of Mathematical Sciences extends its deepest sympathies to the family of alumnus John F. Nash, Jr., who died along with his wife in a car accident on Saturday, May 23. John Nash's death came less than a week after he received the 2015 Abel Prize.

    The Norwegian Academy of Sciences and Letters awarded the Abel Prize for 2015 to John F. Nash, Jr. and Louis Nirenberg “for striking and seminal contributions to the theory of nonlinear partial differential equations and its applications to geometric analysis.” While the Fields medal is considered the highest honor in mathematics, the Fields medal is restricted to mathematicians under the age of 40. The Abel prize, considered the equivalent of a Noble Prize, is the most important prize honoring contributions to mathematics over the course of a career.

    John Nash received bachelor and masters degrees in mathematics from Carnegie Tech in 1948. He went on to complete his Ph.D. at Princeton and to make seminal contributions in a number of areas. Nash was awarded the Nobel prize in economics in 1994 for his work on non-cooperative games. The work on game theory is distinct from the work on partial differential equations and geometric analysis that was recognized by the Abel prize.

  • PIRE NYU-Oxford WorkshopMathematical Models of Defects and Patterns
    Courant Institute of Mathematical Sciences, New York University, January 5-8, 2016
    Organizers: Robert V. Kohn, John M. Ball, Giovanni Leoni, Peter Palffy-Muhoray

  • PIRE-CNA 2016 Summer SchoolNew Frontiers in Nonlinear Analysis for Materials
    Center for Nonlinear Analysis, Carnegie Mellon University, June 2-10, 2016
    Organizers: Irene Fonseca, Giovanni Leoni, Stefan Müller, Christoph Ortner

  • Conference in honor of David Kinderlehrer's 75th birthdayTopics in Applied Nonlinear Analysis: Recent Advances and New Trends
    Carnegie Mellon University, July 18-20, 2016
    Organizers: Maria Emelianenko, Yekaterina Epshteyn, Irene Fonseca, Michał Kowalczyk, Chun Liu, Pablo Pedregal, Dejan Slepčev, Adrian Tudorascu

  • images/LayoutHomeImages/poshenloh-600.jpg
    Po-Shen Loh wins NSF CAREER AwardPo-Shen Loh, an assistant professor of Mathematical Sciences, received an NSF CAREER Award. The Faculty Early Career Development (CAREER) Program offers the National Science Foundation's most prestigious awards in support of junior faculty who exemplify the role of teacher-scholars through outstanding research, excellent education and the integration of education and research within the context of the mission of their organizations.

    Professor Loh's research lies at the intersection of combinatorics and probability theory. He uses randomness as a component in the construction of discrete mathematical objects and also introduces randomness as a proof technique to solve problems about purely deterministic systems. Some of Professor Loh's work is motivated by problems from computer science. He is affiliated with Carnegie Mellon's interdisciplinary PhD program in Algorithms, Combinatorics and Optimization and has developed an innovative problem-solving seminar series for undergraduate students, inspired by the annual Putnam exam.

  • images/LayoutHomeImages/logo.gif
    Alan Frieze delivered plenary lectureProfessor Alan Frieze delivered 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 lectures.

    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.

  • images/LayoutHomeImages/kinderlehrer_thumb.jpg
    David Kinderlehrer named SIAM FellowThe SIAM Fellows Program honors mathematicians who are recognized by their peers as distinguished for their contributions to the discipline. David Kinderlehrer was recently named a SIAM Fellow in recognition of his contributions to nonlinear partial differential equations, the calculus of variations, and mathematical aspects of materials science. Professor Kinderlehrer joins CMU Department of Mathematical Sciences faculty Irene Fonseca, Alan Frieze and Bob Pego among the ranks of SIAM Fellows.

  • images/LayoutHomeImages/IMOLogo.gif
    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 level.

  • 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.

  • images/LayoutHomeImages/quantnet-mscf.png
    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.

  • images/LayoutHomeImages/celebrationmackey.jpg
    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.
    Top 495.5...

  • images/LayoutHomeImages/diag-512-sol6.jpg
    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. Iyer also received an NSF CAREER Award in 2013. The Faculty Early Career Development (CAREER) Program offers the National Science Foundation's most prestigious awards in support of junior faculty who exemplify the role of teacher-scholars through outstanding research, excellent education and the integration of education and research.

    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 processes. 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.

  • images/LayoutHomeImages/fonseca.jpg
    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.

  • images/LayoutHomeImages/mathletes_201x201.jpg
    Putnam Mathematical CompetitionCMU team places 2nd on the 2011 William Lowell Putnam Mathematical Competition. This is the best Putnam result ever for CMU.