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.

The following courses will be offered in the Fall of 2007:

### Schedule

*Computability, Unsolvability and Randomness*

Instructor: Steve Simpson, Professor of Mathematics

Teaching Assistant: Jonas Kibelbek

113 McALLISTER BUILDING,`MWRF`10:10-11:00*Surfaces: Everything You Wanted to Know About Them*

Instructor: Anatole Katok, Raymond N. Shibley Professor of Mathematics

Teaching Assistant: Vaughan Climenhaga

113 McALLISTER BUILDING,`MW F`11:15-12:05

113 McALLISTER BUILDING,`R`1:25-2:15*Topics in Probability Theory*

Instructor: Omri Sarig, Associate Professor of Mathematics

Teaching Assistant: Arseny Egorov

113 McALLISTER BUILDING,`MW F`1:25-2:15

113 McALLISTER BUILDING,`R`11:15-12:05*MASS Seminar*

Instructor: Sergei Tabachnikov, Professor of Mathematics, Director of MASS Program

113 McALLISTER BUILDING, Tuesday 10:10-12:05*MASS Colloquium*

Instructor: Multiple invited speakers

113 McALLISTER BUILDING, Thursday 2:30-3:30

### Calendar of Events

Arrival Day | |

MASS Welcome Party & Orientation | August 27 |

Classes Begin | August 27 |

Labor Day | September 3 |

Midterm Exams | October 3-5 |

Thanksgiving Holiday | November 19-23 |

Study Period | December 4-7 |

Final Exams | December 10, 12, 14 |

MASS Graduation Ceremony | December 15 |

### 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 by mail, fax, or e-mail to

111 McAllister Building

Department of Mathematics

Penn State University

University Park, PA 16802

(814) 865-8462 / Fax:(814) 865-3735

E-mail: mass@math.psu.edu

### Financial Arrangements

Penn State provides fellowships for out-of-state students, reducing their tuition to the in-state level. MASS participants will receive further support, with the intention that their out-of-pocket expenses will not increase. In addition, MASS may award merit fellowships. 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

Students receive 16 honors credits for the courses, seminar and colloquium which should be transferable to their schools and a certificate from the MASS Program at Penn State. Additional recognition is 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 and the Interim Director Victoria Sadovskaya.

Flossie Dunlop is the Administrative Assistant for the MASS program.

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