Keynote speaker: Maslina Darus, Professor of Mathematics,

Universiti Kebangsaan Malaysia

Keynote speaker: Maslina Darus, Professor of Mathematics,Universiti Kebangsaan Malaysia

**A Journey of Research in Univalent Function Theory**

The main purpose of this talk is to highlight the historical background of univalent function theory that flourish in the early 1900. It is all about Koebe function defined by P. Koebe given in 1907. The word 'schlict' meaning simple is the main topics for several decades and well known as univalent functions. All these types of functions are denoted by S. Then we talk about celebrated Bieberbach conjecture stated as: Let , then for all . The result is sharp given by Koebe functions. Subclasses of univalent functions will be mentioned. Recent works will be highlighted. The methods used in all the work based on classical structured proofs include simply elementary calculus, algebra and subordination techniques. Main results that will be shown here include coefficient properties, operators such as the integral and derivatives, concave functions, special functions and differential subordination theory. At the end of the day, we will discuss on some open problems that might be interests of others.

**About the Author:**

Maslina Darus obtained her first degree in 1992 from Acadia University, Nova Scotia and obtained her PhD from University of Wales, Swansea, U. K. in 1996 . She is Full Professor since 2006. She hold position as Head of programme for 5 years (2004-2009), Chair of the School of Mathematical Sciences (2010-2013), Deputy Dean for Faculty of Science and Technology (2013-2018). She is also the President of the Malaysian Mathematical Sciences Society (PERSAMA) since 2013 to date. In 2018, she was conferred as the Fellow of the Academy Science of Malaysia (FASc). She has graduated more than 30 PhD students. She wrote more than 800 articles in refereed/indexed journals of various databases, be it in Scopus, ISI Thomson, MathSciNet and other traditional journals globally. Her main research interests is in univalent function theory and its properties.