The research in analysis at the institute ranges from real and complex analysis, asymptotic analysis, analytic combinatorics, over special functions and differential equations to general topology.The following members of this institute work in analysis.

**Tichy, Robert**(Discrepancy theory, Diophantine equations, analytic and algorithmic number theory, Quasi-Monte Carlo methods and applications in mathematical finance)**Grabner, Peter**(Uniform distribution and arithmetic dynamical systems, asymptotic analysis, analytic combinatorics, Fractal Structures in Number Theory)**Aistleitner, Christoph**(probabilistic methods in analysis and number theory, analytic number theory, limit laws in probability)(analytic and combinatorial number theory)**Elsholtz, Christian****Ganster, Maximilian**(general topology)(complex analytic methods in partial differential equations, special functions)**Tomantschger, Kur**t**Brauchart, Johann**(point distributions and Quasi-Monte Carlo methods on spheres and manifolds, self organization by local interaction)(discrete and continuous uniform distribution, lattice points in convex bodies, random walks on groups**Borda, Bence****)**(Spectral theory, analysis and geometry on graphs, degenerations of Riemann surfaces)**Nicolussi, Noema**(Analytic number theory, Riemann zeta-function, Fourier uncertainty, binary quadratic forms)**Quesada Herrera, Emily**

PhD students:

**Former members:**(complex analytic methods in partial differential equations, special functions)**Berglez, Pete**r(uniform point distributions on spheres and manifolds, quadrature rules, asymptotic analysis, real complexity theory)**Ujué Etayo****Kusner, Woden**(discrete and optimal geometry)**Ferizovic, Damir****Ligia-Loreta Cristea**(Discrepancy Theory, Potential Theory, and optimal point distributions)**Ryan William Matzke**(discrete geometry, fractals in Number Theory, Knot Theory)**Rasskin, Ivan****Wibmer Michael**(differential equations, differential Galois theory)

Several externally funded research projects were devoted to related subjects in recent years. Currently, the Special Research Area (SFB) "Quasi-Monte Carlo Methods: Theory and Applications" combines forces of our group with other research groups in Linz, Salzburg, and Vienna.