Dr. Gutierrez' scholarship focuses on issues of identity and power in mathematics education, paying particular attention to how race, class, and language affect teaching and learning. Through in-depth analyses of effective teaching/learning communities and longitudinal studies of developing and practicing teachers, her work challenges deficit views of students who are Latinx, Black, and Indigenous and suggests that mathematics teachers need to be prepared with much more than just content knowledge, pedagogical knowledge, or knowledge of diverse students if they are going to be successful. They need political knowledge. Her current research projects focus upon: developing in pre-service teachers the knowledge and disposition to teach powerful mathematics to urban students; the roles of uncertainty, tensions, and "Nepantla" in teaching; and the political knowledge (and forms of creative insubordination) that mathematics teachers need to effectively "rehumanize" mathematics in an era of high-stakes education. She also builds upon Indigenous principles and has argued for a new form of mathematics where humans are no long centered. This form of mathematics is referred to as living mathematx.