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The Math Department invites speakers to give talks at our weekly Colloquium (Wednesday afternoons).  We encourage the students to attend these talks.  We offer a  combination of math talks, career talks as well as a workshop on applying to Ph.D. programs.  In addition to our Colloquium, there are many other talks and colloquiua going on at other Bay Area institutions.  Check their websites for more information.   Here is a short list.
The students are also encouraged to attend mathematics conferences.  In recent history, mathematics conferences have been incorporating activities tailored for undergraduate students.   

Local and National Mathematics Conferences

Here is a list  of some local and national conferences

 Conference      Date  Location Opportunities for student participation
 Joint Math Meetings (AMS, MAA, SIAM)
 Early January
 National         Posters and Talks;  Special Talks for students; Book sales; social events for students
Northern CA, NV and HI Section (MAA) meeting
 Late February    
 Bay Area
Northern California Undergraduate Mathematics Conference*
 Bay Area        
 Talks; Very accessible to students
Bay Area Discrete Math Day (a.k.a.BAD Math Day)
 April and October        
 Bay Area
College of Science Research Day**   
 Early May
 SJSU  Posters
Mathfest  Early August
 National Talks and Posters;  Most talks are accessible to students
Biology and Mathematics in the Bay Area (a.k.a.BaMBA)
 Bay Area

* The speakers are mostly undergraduate students.
**All posters are results of student research at SJSU.