I'm new to this forum, but I have heard great things about it and would like advice on where I should apply. I also had a rough freshman year due to family matters. I'm not sure if that matters.

University: State university not known for undergraduate math, but known graduate applied math

Courses/Grades:

Freshmen:

Calc I/II - AP'd out

Calc III - B

Linear Algebra (lower level) - A-

Int. Analysis - B+

Vector Analysis - B

Differential Equations - A

Sophomore(Dean's List):

Abstract Algebra - A

PDE(lower level) - C (I forgot to drop and had missing grades)

Advanced Multivariate Calculus - A-

Probability - A

Mathematics of Signals Representation - A

Linear Algebra I (Senior sequence) - A

Linear Algebra II(Senior sequence) - A-

Complex Analysis - A

Junior(In Progress/Dean's List)

PDE 1(Senior Sequence) - A

Real Analysis - A

Toplogy(Graduate) - W (The workload was too much with PDE, Real and int. mech.)

In addition, I also have taken physics I,II (intro. mech, electro, heat), modern physics(QM) and intermediate mechanics

Research/Awards/Activities

Awards: a competitive UH research scholarship, PURS, and UTMB's SURP with research award nominee.

Positions: Pi Mu Epsilon - VP

Research:

Freshman/Sophomore - Ion Beam Accelerator Lab under a distinguished professor. I worked on simulations and nano-ripples. No publications.

Sophomore Summer - Image Processing jointly with a UTMB group. 1 publication as 1st author

Fields in consideration -

Machine Learning

Algebraic Topology in Apps

Anything with Signals or PDE as the main focus

Applications of Algebra

Where do I stand and to which universities should I apply?