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 2006:

### Schedule

*Finite Fields and their Applications*

Instructor: Gary Mullen, Professor of Mathematics

Teaching Assistant: Van Cyr

113 MCALLISTER BUILDING, MWRF 10:10-11:00*Aspects of Symmetry: from Representations to Quantum Field Theory*

Instructor: Adrian Ocneanu, Professor of Mathematics

Teaching Assistant: Daniele Signori

113 MCALLISTER BUILDING, MWRF 11:15-12:05*Mathematical Theory of Waves*

Instructor: Alberto Bressan, Professor of Mathematics

Teaching Assistant: Andriy Gogolev

113 MCALLISTER BUILDING, MWRF 1:25-2:15*MASS Seminar*

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

113 MCALLISTER BUILDING, Tuesday 10:10-11:00*MASS Colloquium*

Instructor: Multiple invited speakers

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

### Calendar of Events

Arrival Day | |

MASS Welcome Party & Orientation | September 5, 10:10-12:05 |

Classes Begin | September 5 |

Study Day (No classes) | October 6 |

Midterm Exams | October 16-18 |

Thanksgiving Holiday | November 22-24 |

Classes End | December 8 |

Study Period | December 11-14 |

Final Exams | December 15-20 |

MASS Graduation Ceremony | December 21 |

### Enrollment

Participants are selected from applicants who will be juniors or seniors in the following academic year (sophomores may be admitted in some 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, a transition course with proofs (such as discrete mathematics) and advanced calculus or basic real analysis. The search for participants is nationwide. International applications are invited as well. Each participant is selected based on academic record, two recommendation letters from faculty, and an essay (international applicants should demonstrate their mastery of English).

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 should be submitted through MathPrograms.org, ID: PSUMASS 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

### Financial Arrangements

Successful applicants currently enrolled in U.S. colleges and universities will be awarded the Penn State MASS Fellowship which reduces the tuition to the in-state level. Best efforts will be made not to increase their out of pocked 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.

Amy Hanley is the Administrative Assistant for the MASS program.

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