00:35 Uhlenbeck’s childhood in New Jersey and expectation from her parents 2:02 Why mathematics? 3:16 Enrollment in university as Physics major and her first experience with mathematics 6:22 The honours programme at Michigan University and starting out in the mathematics field 10:22 The PhD. at Courant Institute of New York and Brandeis University in Boston and choosing Richard Palais as her thesis advisor 13:30 What is global analysis? The essentiality of making estimates 16:40 Finding minimal surfaces of higher dimension 19:22 Uhlenbeck’s paper on “Regularity for a class of non-linear elliptic systems”, extending the De Giorgi–Nash– Moser results. 24:18 The 1980’s and Uhlenbeck’s many highly influential papers and the origins of the bubble theory with J. Sacks 29:23 Why are the Yang–Mills equations important, and why is gauge invariance important? 33:30 considering the development of global analysis can we say talk about “the unreasonable effect that physics has had on mathematics”, turning Wigner’s famous quote on the head 36:20 The four manifold theory, its dramatic development and original connection to physics 37:44 Being a good mathematician, perseverance, concentration, and moments of epiphany 40:53 Uhlenbech and Yau’s work and the impact on the field of complex geometry as well as in physics. How did this work come about? 44:57 “Problem as the lifeblood of mathematics” Hilbert said: Are there still big problems around for global analysis and gauge theory in particular? What direction will mathematics take, has it lived up to your predictions from 1988? 49:09 Reflecting on being a female in the field of mathematics 51:25 Prejudices against women and minorities in mathematics still exist, what is the situation like today for these underrepresented groups? 56:57 The Park City Mathematical Institute initiative 58:18 Uhlenbeck will use the prize money to invest back in the under-represented minorities through the Edge-foundation and the institute for advanced studies Interview in written. Notices of the American Mathematical Society: https://www.ams.org/journals/notices/202003/rnoti-p393.pdf Karen Uhlenbeck is interviewed by the two mathematicians Christian Skau and Bjørn Ian Dundas. Produced by UniMedia, Yvonne Pettrém og Arve Nordland