# Research

Picture by John Stembridge

I am interested in the representation theory of real semisimple Lie groups. I recently made some calculations for the nonalgebraic double covers of certain 'spin' groups of type B. The results of these calculations may be found here. I also have similar calculations for the universal cover of the split real form of type F4.

These calculations are related to a larger computational project known as The Atlas of Lie Groups and Representations.

Here is a link to my thesis.

# Teaching — Fall 2008

Math 2270 Section 001 Begins August 25th MTWF 9:40-10:30 JTB 120 Office Hours: After class and Tuesdays 12pm-1pm Email: scottcrofts@gmail.com

## Announcements

• No meeting September 1st (Labor Day)
• (9/3) Quiz 1 On Material From: 8/26-8/29
• (9/10) Quiz 2 On Material From: 9/2-9/8
• (9/17) Quiz 3 On Material From: 9/9,9/10,9/15
• (9/24) Exam 1 On Material Through Section 3.3
• (10/8) Quiz 4 On Material From: Sections 3.4,4.1,4.2
• (10/29) Quiz 5 (Take Home) On Material From: Sections 5.1,5.2,5.3
• (11/5) Exam 2 On Material From: Sections 3.4, 4.1-4.3, 5.1-5.3, 5.5
• (11/12) Quiz 6 On Material From:11/3,11/10
• (11/19) Quiz 7 On Material From:11/14,11/17
• (11/26) NO CLASS - Happy Thanksgiving
• (12/3) Quiz 8 On Material From: Sections 7.3,7.4,8.1
• (12/8) Exam 3 On Material From: Sections 6.1-6.3, 7.1-7.4, 8.1,8.2
• (12/17) Final Exam: 8am-10am - JTB 120

## Homework

• (8/26) Section 1.1: 5,7,9,11,17,29,38
• (8/27) Section 1.2: 1,5,7,9,13,19,21,24,25,26,31
• (8/29) Section 1.3: 1,3,6,7,13,15,17,19,20,23,27,28
• (9/2) Section 1.3: 29,30,33,34,35,36,44,47,51
• (9/3) Section 2.1: 5,7,25,26,27,32,33
• (9/5) Section 2.1: 1,3,17,19,34,40
• (9/8) Section 2.3: 1,3,7,9,11,17,21,22,34,35ab,41,42
• (9/9) Section 2.4: 1,3,5,7,9,11,13,18,21,22,23,25,28
• (9/15) Section 3.1: 1,3,9,13,15,17,23,25,27,39,40,51
• (9/16) Section 3.2: 1,2,3,4,6,7,10,11,13,15,17,27
• (9/17) Section 3.2: 33,37,45
• (9/22) Section 3.3: 1,3,5,9,11,19,21,37,60,61
• (9/26) Section 3.4: 1,7,9,13,17
• (9/29) Section 3.4: 19,21,27,39,49,52
• (9/30) Section 3.4: 55,57,76
• (10/01) Section 4.1: 7,10,11,12,13,14,17,20,22
• (10/03) Section 4.1: 39,49,56
• (10/06) Section 4.2: 1,3,5,9,23,31,33,37,55,77
• (10/08) Section 4.3: 1,13,21,25,49
• (10/20) Section 5.1: 3,10,15,19,21,27,29,37
• (10/21) Section 5.1: 5,11,39. Section 5.2: 1,7,33
• (10/22) Section 5.2: 15,17,21,37,40,41
• (10/24) Section 5.3: 1,3,5,6,8,11,31,33,46
• (10/27) Section 5.3: 13,15,16,17,27,41,45,55
• (10/28) Section 5.5: 3,7,9
• (10/29) Take Home Quiz (see above)
• (11/03) Section 6.1: 1,5,7,9,13,17,35,43,45
• (11/10) Section 6.2: 1,5,7,29
• (11/10) Section 6.2: 11,13,15,37,41,59
• (11/14) Section 7.1: 1,3,5,7,38,47
• (11/17) Section 7.2: 3,7,9,13,15,17,29,37
• (11/19) Section 7.3: 3,9,11,13,17,19,27
• (11/24) Section 7.4: 3,5,9,17,21,27
• (11/25) Section 7.4: 33, 35 Section 8.1: 3,5,11
• (12/1) Section 8.1 23,29
• (12/3) Section 8.2 3,5,6,11,15,19,37