Teaching and mentoring are core elements of my identity as an academic mathematician. I share my goals and philosophies for the two below. I shall update this essay as my views mature and as my experience grows.

• Teaching Statement 

Curriculum Development

• MATH 2550 - Discrete Structures for Mathematics and Computer Science I. Course Description: Symbolic logic is utilized to develop the skill of theorem proving using: mathematical induction, recurrence relations, computer program correctness, set theory, and introduction to networks/graphs.

• MATH 2560 - Discrete Structures for Mathematics and Computer Science I. Course Description: Symbolic logic is utilized to develop the skill of theorem proving using: relations, functions, injections, surjections, images and inverse images, cardinality, introduction to algebraic structures.

• MATH 2570 - Combinatorics and Graph Theory. Course Description: This course introduces the concept of a combinatorial proof and its application to concepts such as counting principles, relations, and the principle of inclusion and exclusion. The course also introduces graphs and covers concepts such as planarity, coloring theory, matching theory, and network flows.

Outreach

I have been involved with multiple outreach activities here at Xavier, including co-organizing our pi day celebration and math fair where students from local high schools are invited to participate in competitions and workshops to promote mathematics.