A program of the Office of Undergraduate Research and Scholarships

About the Program

The SURF Program is made up of four different fellowships:

Each fellowship has particular eligibility requirements, and each fellowship has certain obligations that fellows agree to if they receive the award. 

The application deadline for SURF summer 2019 will be February 21, 2019 . The application instructions and forms are available under the apply tabs of this website. To best understand the program and prepare a quality application we encourage you to:

  • attend an info session before applying. See "Resources" Tab for info sessions specifics or the OURS calendar
  • attend a workshop on how to write a research proposal. See OURS calendar for time and place.
  • You are also encouraged to meet with the SURF advisors to discuss your project and application. Starting in January, sign up for Brittany (STEM) or TBD (Social Science / Humanities) via the advisor information under the "Resources" tab. 

The SURF L&S fellowship allows UC Berkeley undergraduates in the College of Letters and Science to spend the summer doing concentrated research in preparation for a... more

Meet Our SURF & Rose Hills Fellows

Analysis of Matrix Multiplication Complexity Using Properties of Tensors

Yu Ma : Applied Mathematics

Matrix multiplication is one of the most foundational mathematical operations. Understanding this operation is a sophisticated mathematical question, which has been the subject of extensive research over the years. There is huge incentive to improve the speed of matrix multiplication as well as understand the inherent bounds on its complexity.

The rich theory of algebraic computational complexity aims to study the complexity of objects with an intrinsic mathematical structure. In particular, for each n, matrix multiplication of two nxn matrices can be expressed as a bilinear map, which corresponds to a tensor via a well-known isomorphism. The rank of this tensor controls the asymptotic complexity of matrix multiplication of a particular dimensionality.

Despite this... Read More