Department of Mathematics of the Pennsylvania State University runs a yearly semester-long intensive program for undergraduate students seriously interested in pursuing a career in mathematical sciences. The *Mathematics Advanced Study Semesters* (MASS) program started in the Fall of 1996 and is held during the Fall semester of each year.

The principal part of the program consists of *three core courses* chosen from major areas in *Algebra/Number Theory*, *Analysis*, and *Geometry/Topology* respectively, specially designed and offered exclusively to MASS participants, and a weekly *MASS seminar*.

Additional features include *colloquium-type lectures* by visiting and resident mathematicians and mathematical research projects.

### Courses

The following courses will be offered in the Fall of 2013:

*Number Theory in the Spirit of Ramanujan*

Instructor: George Andrews, Evan Pugh Professor of Mathematics

Teaching Assistant: Ayla Gafni

113 McAllister Building, MWF 10:10 - 11:00 a.m., T 11:15 a.m. - 12:05 p.m.*Elements of functional analysis*

Instructor: Boris Kalinin, Associate Professor of Mathematics

Teaching Assistant: Shilpak Banerjee

113 McAllister Building, MTWF 1:25 - 2:15 p.m.*Winding number in topology and geometry (and the rest of mathematics)*

Instructor: John Roe, Professor of Mathematics

Teaching Assistant: Dong Chen

113 McAllister Building, MWF 11:15 a.m. - 12:05 p.m., T 10:10 - 11:00 a.m.*MASS Seminar*

Instructor: Victoria Sadovskaya, Associate Professor of Mathematics, Interim MASS Director

113 McAllister Building, Thursday 10:10 am - 12:05 p.m.-
*MASS Colloquium*

Instructor: Multiple invited speakers

114 McAllister Building, Thursday 1:25 - 2:25 p.m.

### Calendar of Events

Arrival Day | August 25 |

MASS Orientation | August 26, 9:30 a.m. |

Classes Begin | August 26 |

Labor Day — No Classes | September 2 |

Midterm Exams | October 7, 8, 9 |

Thanksgiving Holiday — No Classes | November 24-30 |

Classes End | December 6 |

Study Days | December 7-12 |

Final Exams | December 13, 16, 18 |

MASS Graduation Ceremony | December 19, 10 a.m. |

### Enrollment

The participants are selected from applicants currently enrolled into US colleges or universities who will be juniors or seniors during this MASS session. Students who will be sophomores may be admitted in exceptional cases. All participants are expected to have demonstrated a sustained interest in mathematics and a high level of mathematical ability and to have mastered basic techniques of mathematical proof. The expected background includes a full calculus sequence, basic linear algebra, and advanced calculus or basic real analysis.

Candidates should submit:

- Application Form
- Transcript
- Record of Mathematics Courses
- A short essay describing their interest in mathematics
- Two letters of recommendation
- Financial disclosure form
- Transfer Protocol form

Application materials may be retrieved off the web, or requested by mail, fax, or e-mail.

Applications may be submitted through MathPrograms.org or sent by mail, fax, or e-mail to

107 McAllister Building

Department of Mathematics

Penn State University

University Park, PA 16802

(814) 863-8730 / Fax:(814) 865-3735

E-mail: mass@math.psu.edu

The deadline for MASS applications is **Friday, April 5, 2013.**

### Financial Arrangements

All successful applicants will be awarded the Penn State MASS Fellowship which reduces the tuition to the in-state level. For students currently enrolled in U.S. colleges and universities, best efforts will be made not to increase their out of pocket expenses. See the Financial Information for more details.

### Housing

All participants not enrolled at Penn State will be provided an opportunity to live in one of the residence halls on campus.

### Credits

The program elements total 16 credits, all of which are recognized by Penn State as honors credits and are transferable to participants' home universities. Students will also receive a certificate from the MASS Program at Penn State. Additional recognition may be provided through prizes for outstanding performance and for best projects.

### Administration

The overall supervision of the MASS program is provided by the Scientific Advisory Board which includes senior members of Penn State's mathematics faculty, and several outstanding mathematicians from other institutions.

The program is managed by the Director Sergei Tabachnikov.

Stephanie Zerby is the Administrative Assistant for the MASS program.

Participants are chosen by the *Selection Committee* headed by a member of the Scientific Advisory Board.