Jonathan Montaño was born in Barranquilla, Colombia. He finished his undergraduate studies in mathematics at Universidad Nacional de Colombia, Bogotá in 2008. He was granted one of the Outstanding Graduate Students Fellowships from this university while working on his master's, which he obtained in 2009. He joined Purdue University in the fall of 2009 as one of the recipients of the Ross Fellowship. While pursuing his graduate studies he was one of the members of the Mathematical Sciences Research Institute (MSRI) in the fall of 2012. Montaño was awarded the Bisland Dissertation Fellowship from the College of Science during the course of his last academic year at Purdue, where he earned his Ph.D. in Mathematics in 2015 under the direction of Bernd Ulrich. Upon graduation, Montaño joined the University of Kansas for a three-year postdoctoral appointment in the Fall of 2015. During the summer of 2018, he was granted an extended research visit at the Oberwolfach Research Institute for Mathematics (MFO) as a recipient of one of their Leibniz Fellowships. Currently, he is an Assistant Professor at New Mexico State University. Montaño is committed to promoting mathematics among underrepresented minority students through organizing conferences and seminars, as well as other outreach opportunities.
Montaño’s research is in commutative algebra. He is particularly interested in asymptotic information that can be obtained from analyzing invariants of powers of ideals in Noetherian rings. Recently, he has worked on multiplicities of ideals and modules, integral closures, symbolic powers of ideals, arithmetic properties of blowup algebras, and local cohomology of powers of ideals.