Mathematicians study numbers, patterns, systems, space, and change. Mathematics includes many fields, from cryptography (creating and breaking codes) to mathematical physics. Arithmetic Geometer Jordan Ellenberg explores the connections between number theory and geometry.Mathematician Edward Frenkel says mathematics can lead us to think about “questions of truth and beauty.”  Topologist Emille Lawrence studies malleable (squishy and stretchable) shapes, exploring symmetry and braid groups.