Measure Theory and Integration

Ammar Khanfer earned his Ph.D. from Wichita State University, USA. His area of interest is analysis and partial differential equations (PDEs), focusing on the interface and links between elliptic PDEs and hypergeometry. He has notably contributed to the field by providing prototypes studying the behavior of generalized solutions of elliptic PDEs in higher dimensions in connection to the behavior of hypersurfaces near nonsmooth boundaries. He also works on the qualitative theory of differential equations, and in the area of inverse problems of mathematical physics. He has published articles of high quality in reputable journals.

Ammar taught at several universities in the USA: Western Michigan University, Wichita State University, and Southwestern College in Winfield. He was a member of the Academy of Inquiry Based Learning (AIBL) in the USA. During the period 2008-2014, he participated in AIBL workshops and conferences on effective teaching methodologies and strategies of creative thinking, which made an impact on his engaging and motivational writing style. He then moved to Saudi Arabia to teach at Imam Mohammad Ibn Saud Islamic University, where he taught and supervised undergraduate and graduate students of mathematics. Furthermore, he was appointed as coordinator of the PhD program establishment committee in the department of mathematics. In 2020, he moved to Prince Sultan University in Riyadh, and has been teaching there since then.

Ammar Khanfer 於美國威奇塔州立大學獲得博士學位。他的研究興趣為分析與偏微分方程（PDEs），專注於橢圓型 PDEs 與超幾何之間的介面及聯繫。他在該領域的顯著貢獻包括提供原型，研究高維度橢圓型 PDEs 的廣義解的行為，並與非光滑邊界附近的超曲面行為相關聯。他還從事微分方程的定性理論以及數學物理的反問題領域。他在知名期刊上發表了高品質的文章。

Ammar 曾在美國的幾所大學任教，包括西密西根大學、威奇塔州立大學和位於溫菲爾德的西南學院。他是美國基於探究的學習學院（AIBL）的成員。在 2008 至 2014 年期間，他參加了 AIBL 的工作坊和會議，探討有效的教學方法和創意思維策略，這對他的互動和激勵寫作風格產生了影響。之後，他移居沙烏地阿拉伯，在伊瑪目穆罕默德·伊本·沙烏德伊斯蘭大學任教，並指導數學的本科生和研究生。此外，他還被任命為數學系博士課程設立委員會的協調員。2020 年，他移至利雅德的王子蘇丹大學，自那時起一直在該校任教。