Skip to main content
MENU
Menu
Icon of three lines stacked on top of eachother
Close
Icon of X symbol
BEYOND
THESE TOWERS
Search
Icon of a magnifying glass
Close
Icon of X symbol
SEARCH
Mega Menu First Column
Project-Based Learning
Chev Down
Icon of hollow arrow pointing down
A Project-Based Education
PBL in Higher Education
Lifelong Impact
Academics
Chev Down
Icon of hollow arrow pointing down
Degrees and Certificates
Departments & Programs
Undergraduate Studies
Graduate Studies
Pre-Collegiate Outreach
Online Graduate Programs
Online Professional Development
The STEM Education Center
Faculty
Academic Calendar
Academic Catalogs
Mega Menu Second Column
Admissions & Aid
Chev Down
Icon of hollow arrow pointing down
Undergraduate Admissions
Graduate Admissions
Financial Aid
Athletics
The Student Experience
Chev Down
Icon of hollow arrow pointing down
Community & Culture
Housing & Dining
Getting Involved
Sports & Recreation
Health & Wellness
Resources & Support
The First-Year Experience
Mega Menu Third Column
Research
Chev Down
Icon of hollow arrow pointing down
Areas of Research
Institutes & Centers
Student Research
Core Research Facilities
Innovation & Entrepreneurship
News & Events
Give to WPI
Mega Menu Fourth Column
Students
Parents
Faculty & Staff
Alumni
Employers & Partners
K-12
Media
Search
Common Searches:
Where is WPI?
Interested in Study Abroad?
What research is WPI known for?
What is project-based learning?
Does WPI have sports?
Breadcrumb
More
Icon of three circles in a row
Close
Icon of X symbol
Home
Arrow Right
Icon of arrow pointing right
Academics
Arrow Right
Icon of arrow pointing right
Faculty
Arrow Right
Icon of arrow pointing right
Faculty Directory
Arrow Right
Icon of arrow pointing right
Ralihe Raul Villagran
Email
rvillagran@wpi.edu
Phone
+1 (508) 8315000 x6193
Ralihe Raul Villagran
Mathematical Sciences
Post-Doctoral Scholar
Email
rvillagran@wpi.edu
Ralihe Raul Villagran
Mathematical Sciences
Post-Doctoral Scholar
Phone
+1 (508) 8315000 x6193
