Good math schools for algebra and logic

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SUMMARY

This discussion provides recommendations for graduate schools specializing in algebra and mathematical logic, highlighting four top institutions: Massachusetts Institute of Technology (MIT), University of California, Berkeley, University of Chicago, and University of Wisconsin-Madison. Each school offers robust programs with a focus on algebraic geometry, representation theory, and model theory. The discussion emphasizes the importance of researching graduate programs that align with specific mathematical interests and suggests resources like the American Mathematical Society for further exploration.

PREREQUISITES
  • Understanding of advanced mathematical concepts such as algebraic geometry and mathematical logic.
  • Familiarity with graduate-level mathematics coursework, including topics like number theory and topology.
  • Knowledge of research methodologies in mathematics.
  • Awareness of interdisciplinary applications of mathematics, particularly in economics and chemistry.
NEXT STEPS
  • Research the graduate programs at Massachusetts Institute of Technology (MIT) focusing on algebra and logic.
  • Explore the University of California, Berkeley's Algebra and Logic group and their course offerings.
  • Investigate the University of Chicago's graduate programs in pure mathematics, particularly in algebra and logic.
  • Utilize the American Mathematical Society's resources to find additional graduate programs with a focus on algebra and logic.
USEFUL FOR

Prospective graduate students in mathematics, particularly those specializing in algebra and logic, as well as individuals interested in interdisciplinary applications of mathematics in fields like economics and chemistry.

gravenewworld
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I want to go to grad school for math and specialize in algebra and maybe math logic, anyone have recommendations? where can i find info on schools and their specialization in math This is my math background:

Calc 3
Diff eq w/ linear alg.
Foundations of Mathematics
Advanced Calc
Combinatorics
Complex analysis
linear algebra
game theory
topology
modern algebra
independent study on ring and field theory
seminar in mathematics
independent study on mathematical logic: computability and godel's theorems
grad course on geometry
grad course on linear algebra
grad course on number theory
infinity and paradoxes

Im also getting a bs in chemistry and a minor in economics if that matters for anything.
 
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Congratulations on your strong math background and your interest in pursuing graduate studies in algebra and logic! Here are a few recommendations for good math schools that specialize in these areas:

1. Massachusetts Institute of Technology (MIT) - MIT's Department of Mathematics has a strong focus on algebra and logic, with faculty members conducting research in areas such as algebraic geometry, representation theory, and mathematical logic. They offer both master's and doctoral programs in mathematics, as well as a joint program in mathematics and computer science.

2. University of California, Berkeley - With a top-ranked math department, UC Berkeley offers a wide range of courses and research opportunities in algebra and logic. Their Algebra and Logic group covers topics such as algebraic geometry, number theory, and model theory. They also have a joint program in mathematics and computer science.

3. University of Chicago - The Department of Mathematics at University of Chicago has a strong emphasis on pure mathematics, including algebra and logic. They offer graduate programs in algebra, geometry/topology, and mathematical logic, as well as a joint program in mathematics and computer science.

4. University of Wisconsin-Madison - The Department of Mathematics at UW-Madison has a renowned algebra group, with faculty members specializing in algebraic geometry, representation theory, and algebraic topology. They also have a strong logic group, with research in areas such as computability theory and model theory.

In addition to these specific schools, you can also search for graduate programs in mathematics that have a strong focus on algebra and logic. Some helpful resources for finding this information include the American Mathematical Society's list of graduate programs in mathematics and the Mathematics Genealogy Project, which lists the research interests and affiliations of mathematicians.

Your background in chemistry and economics may also be valuable for certain areas of algebra and logic, such as mathematical economics and applications of algebra to chemistry. Be sure to look for schools that have interdisciplinary connections in these areas as well.

Best of luck in your search for the perfect graduate program in mathematics!
 

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